{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "%matplotlib inline\n",
    "from matplotlib.pylab import rcParams\n",
    "rcParams['figure.figsize'] = 15, 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     Month  AirPassengers\n",
      "0  1949-01            112\n",
      "1  1949-02            118\n",
      "2  1949-03            132\n",
      "3  1949-04            129\n",
      "4  1949-05            121\n",
      "\n",
      " Data Types:\n",
      "Month            object\n",
      "AirPassengers     int64\n",
      "dtype: object\n"
     ]
    }
   ],
   "source": [
    "data = pd.read_csv('./AirPassengers.csv')\n",
    "print(data.head())\n",
    "print('\\n Data Types:')\n",
    "print(data.dtypes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AirPassengers\n",
      "Month                    \n",
      "1949-01-01            112\n",
      "1949-02-01            118\n",
      "1949-03-01            132\n",
      "1949-04-01            129\n",
      "1949-05-01            121\n"
     ]
    }
   ],
   "source": [
    "dateparse = lambda dates: pd.datetime.strptime(dates, '%Y-%m')\n",
    "data = pd.read_csv('/Users/zhanglei/Downloads/AirPassengers.csv', parse_dates=['Month'], index_col='Month',date_parser=dateparse)\n",
    "print(data.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "ts = data['AirPassengers']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "def test_stationarity(timeseries):\n",
    "\n",
    "    #Determing rolling statistics\n",
    "    rolmean = timeseries.rolling(12).mean()\n",
    "    rolstd = timeseries.rolling(12).std()\n",
    "\n",
    "    #Plot rolling statistics:\n",
    "    orig = plt.plot(timeseries, color='blue',label='Original')\n",
    "    mean = plt.plot(rolmean, color='red', label='Rolling Mean')\n",
    "    std = plt.plot(rolstd, color='black', label = 'Rolling Std')\n",
    "    plt.legend(loc='best')\n",
    "    plt.title('Rolling Mean & Standard Deviation')\n",
    "    plt.show(block=False)\n",
    "\n",
    "    #Perform Dickey-Fuller test:\n",
    "    print('Results of Dickey-Fuller Test:')\n",
    "    dftest = adfuller(timeseries, autolag='AIC')\n",
    "    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n",
    "    for key,value in dftest[4].items():\n",
    "        dfoutput['Critical Value (%s)'%key] = value\n",
    "    print(dfoutput)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/pandas/plotting/_converter.py:129: FutureWarning: Using an implicitly registered datetime converter for a matplotlib plotting method. The converter was registered by pandas on import. Future versions of pandas will require you to explicitly register matplotlib converters.\n",
      "\n",
      "To register the converters:\n",
      "\t>>> from pandas.plotting import register_matplotlib_converters\n",
      "\t>>> register_matplotlib_converters()\n",
      "  warnings.warn(msg, FutureWarning)\n"
     ]
    },
    {
     "data": {
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4rhd9jhw5wkUXXURycjLGGN58880iL/IWiyV73NDKwmbRZyv0xphdIrJdRJoYYzYA3YG1zmso8IKznOkcMgv4WET+gw7GNgKW5EfnCyvly5e3pREtlmKIr9C7AXl//VVw/XEJNurmHmCKE3GzBbgR9e9PF5GbgW3AVQDGmDUiMh29EZwE7spLxI3FYrEUFXyFvnRpKFWqCAm9MWYF4M8P1D3A/mOAMXnol8VisRQ5fIUe1KovDK4bmwLBYrFYPGLfPihZEtwpNhERhcOit0JvsVgsHuFOlnIn1EdEWIu+0BMaGkpUVBQtW7bksssuyza9sG9is3nz5tG3b18AZs2axQsvvOBJn9zJWocOHTq17r777kNE2FsYZmZYLMUYV+hdKle2Fn2hp3Tp0qxYsYLVq1dTuXJlxo0bl6t2+vXrx4gRIzzr1znnnMPMmRrklJqayk8//UStWpnmpFksltNMRqG3Fn0Ro1OnTuzYsQPQXDYPP/wwLVu2pFWrVnzyySdZHvvhhx9y9913A2qR33vvvZx33nlERkaeymGfmprKnXfeSYsWLejbty99+vQJmN9+8ODBp845b948OnfuTIkSaePqkydPpkOHDkRFRXHbbbeRkqJBT3fccQcxMTG0aNGCUaNGndq/fv36jBo1irZt29KqVSvWr1+fy2/JYineFFaLvkikKS6wPMUOKSkpzJ07l5tvvhmAL774ghUrVrBy5Ur27t1L+/btueCCC4I+dWJiIr/++ivr16+nX79+XHnllXzxxRfEx8fz559/kpSURLNmzbjpppv8Ht+oUSNmzpzJX3/9xdSpUxkyZAjffPMNoLNXP/nkExYsWEBYWBh33nknU6ZM4YYbbmDMmDFUrlyZlJQUunfvzqpVq05l1jzrrLP4/fffGT9+PC+//DLvvfde0NdjsVgUfxb9oUOaAycsrOD6ZS36LDh69ChRUVFUqVKF/fv306NHD0DTEA8ePJjQ0FCqVatG165dWbp0adDt9u/fn5CQEJo3b87u3btPtXnVVVcREhJC9erVueiii7JsY8CAAUybNo3Fixdz/vnnn1o/d+5cli9fTvv27YmKimLu3Lls2bIFgOnTp9O2bVuio6NZs2YNa9euTdcepE+XbLGcqaSmet+mMf4teoBcVg/1jKJh0RdQnmLXR//333/Tt29fxo0bx7333ht0GuJA+KYndtvKaZuDBg2ibdu2DB06lJCQtPu1MYahQ4fy/PPPp9s/Li6Ol19+maVLlxIREcGwYcM4duxYpj6FhoZy8uTJHF+TxVJU2L8f2rWDRx6B22/3rt1Dh+DkycwWvXvOqlW9O1dOsRZ9EFSsWJHXX3+dl19+meTkZC644AI++eQTUlJS2LNnD/Pnz6dDh7xlYu7SpQuff/45qamp7N69O9sc9HXr1mXMmDHceeed6dZ3796dzz77jKQkTT20f/9+tm7dysGDBylbtiwVK1Zk9+7dp1w9Fktx47HHID4eVq3ytt2Mk6Wg8KRBKBoWfSEgOjqaNm3aMG3aNIYMGcLChQtp06YNIsKLL75I9erV8+TyGDhwIHPnzqVly5Y0btyYjh07Zpva+Lbbbsu0rnnz5jz77LP07NmT1NRUwsLCGDduHOeeey7R0dG0aNGCyMhIOnfunOu+WixFlaVL4e239b3X0TD+hL6wJDbLNk3x6eBMS1OcWw4fPky5cuXYt28fHTp0YMGCBVSvXr2gu3WK4vibWM4cUlOhQwfYuVMFuHZt+O4779r/7jvo3Rt+/RVcOyo2Fpo0gcmT4brrvDuXi5dpii2nib59+3LgwAFOnDjBE088UahE3mIp6mzYAMuXax3Xr74Cr+sdZWXRW9eN5RS2NqzFkn84AW40bQq//abC7yWF2XVjB2MtFkuxwIlP4Oyz8yerpCv0rrgDlCgB5csXvEVvhd5isRQLXFeNK/QHDkCKh5Uy9u+HSpVU3H0pDKmKrdBbLJZiQVKSZpX0LfP399/etb93b3q3jUthSFVshd5isRQLkpJUiEND0+LbvbS0d+wAf7kFC0NiMyv0WVAY0xQvWrSIjh07EhUVRbNmzXjqqadOne+3334LeFy5cuU8Ob/FUlRJSlK3DZxeoS8Mic2s0GdBYUxTPHToUN55551T/br66quB7IXeYinu7NmTf0JvDCQkWIu+yFNY0hQnJSVRo0YNQJ84mjdvTnx8PG+99RavvPIKUVFR/PLLL8TFxdGpUyfat2/PE0884eVXYbEUSZKS0vLNeJ2aYP9+OH48a4u+IOemFok4+vvvv58VHqcpjoqK4tUimKb4gQceoEmTJlx44YX07t2boUOHUr9+fW6//XbKlSvHQw89BOhTxB133MENN9yQ6ycRi+VMwtd143V8u2MDBrTojx+Ho0ehTBlvzpdTrEWfBYUxTfGTTz7JsmXL6NmzJx9//DG9e/f2u9+CBQsYPHgwANdff31OLttiOeM4cUKt6oIQ+sKQ2KxIWPTBWt5eU1jTFDds2JA77riD4cOHU7VqVfa5MzUyIG6FYoulmOOWU3aFPixMJzKdLoseVOgLquKnteiDoDClKf76669P3RQ2btxIaGgolSpVonz58ukKhnfu3Jlp06YBMGXKlDz1zWIp6vhOlnLxciKTK/TO8Fk68iPCJ6cEJfQiEi8if4rIChFZ5qyrLCJzRGSjs4zw2X+kiGwSkQ0i0iu/On868U1TfMUVV9C6dWvatGlDt27dTqUpzgsDBw6kdu3atGzZkttuuy1gmuKPPvqIJk2aEBUVxfXXX8+UKVMIDQ3lsssu48svvzw1GPvaa68xbtw42rdvz99ezgqxWPKRbdvAsU88xU1/4Fv8w8uwx4QEqFYNSpbMvM09565d3pwrVxhjsn0B8cBZGda9CIxw3o8AxjrvmwMrgVJAA2AzEJpV++3atTMZWbt2baZ1ZzqHDh0yxhizd+9eExkZaRITEwu4R+kpjr+J5fRyySXGiBhz/Li37U6ebAwYs3592rpu3Yzp3Nmb9i+5xJi2bf1vO3hQz/38896cyxdgmQlCw/Pio78cuNB5PxGYBzzirJ9mjDkOxInIJqADsDAP5yoW2DTFluLMH3+AW/jswIH0bpa84pvQzKVyZVizxpv2d+yAevX8bytfXs+7aZM358oNwQq9Ab4XEQO8bYx5B6hmjEkEMMYkioj7FdYCFvkcm+CsS4eI3ArcCloWz2LTFFuKN75ljn0jZLxgzx5NNlapUto6r330550XeHvDhrB5szfnyg3BDsZ2Nsa0BS4B7hKRrILG/YV6ZAopMca8Y4yJMcbEVA1QNdcUgupXFsX+Fpb8ZMMG+OwziI7Wz16HIrox9L6BaF5NZDp2TFMUZxVRc845RUDojTE7nWUS8CXqitktIjUAnKXzcEQCUMfn8NrAzpx2LDw8nH379lmBKQQYY9i3bx/h4eEF3RXLGcrrr0N4ODipm/JF6DPakxERGl9/5Eje2t7pqFtWQt+woQ7YHj+et3PllmxdNyJSFggxxhxy3vcEngFmAUOBF5zlTOeQWcDHIvIfoCbQCFiS047Vrl2bhIQE9nhd78uSK8LDw6ldu3ZBd8NyhvLnn9C+PTRurJ/zy6L3xTfssWzZ3LedkKDL7ITeGIiL0wpXp5tgfPTVgC+dyTclgI+NMd+KyFJguojcDGwDrgIwxqwRkenAWuAkcJcxJsfp/cPCwmjQoEFOD7NYLEWQ7duhS5f8q7GalKTuE198hb5OnczHBEtWk6VcGjbU5aZNhVTojTFbgDZ+1u8Dugc4ZgwwJs+9s1gsZzwpKWoV162bf0Lvm7nSxauJTK7QZ/XA6wp9Qfnp7cxYi8VSoOzeDSdPqlVdsqQm/vJS6I8cgcOHM/vovcpBs2OHun4qVAi8T9WqGmaZSej37Dkt6m+F3mKxFCjbtunSjbL2uvSev/QH7nnAG4u+Vq30ET0ZEfEJsTx4ECZNgksu0ZwJHtWqyIoikdTMYrGcubhC7/rJIyJ0wpRX+JssBd65buLjg0tW1r5GAv1+eRiqzdCYzHr14OGH4dpr89aBILBCb7FYgmLXLnVBhIZ62+727bp0LfpKlby16N32M4pxmTLqKsqL0M+dC0uXwnPPZbGTMTBtGq/+eCepx5NJvesWQq4dDJ06Zf0Y4CHWdWOxWAJy4oR6Fho3Vi/DO+94f45t29R/7ebw89p1Exeny4xBfCJ5mx2bnAz33qvtPvBAgJ1Wr4aePeHaazlUsylRrGD7w//VabSnMY24FXqLxRKQhQth7FgV+TJlYO1a78+xfXuaNQ/5I/QVK6b55H3Ji9CPH6/fxyuv6GSvdOzdC3fdBW3awLJl8NprrHnrFzZzToFE3liht1gsAYmN1eWkSWq5upODvGTbtvRx7F4LfXw81K/vf1v16mkzW3PK2LHQvTv065dhw/Tp0KgRvP023HGHBs/fey+RjdVTvmVL7s6XF6zQWyyWgGzYoNZqnTrq43Zjxr3En0V/6JCGXHpBXFxmt41LnTppPvycsHcvJCZCnz4ZPDDvvw+DBkGzZrByJbzxBlSpAqQVJSmIvPRW6C0WS0BiY9U4DQnJH6E/elSjYjJa9OBN5I0xatEHEvq6ddWiz+lNZf16XZ6a5WoMvPgi3HIL9OoFP/wALVqkO6ZUKb02K/QWi6VQsWEDNGmi72vVUpHyytKGNFdQRosevHHfJCXphKmshD41Nefum3XrdNmsGToba9AgeOQRuPpqmDFDBzT8UL26FXqLxVKISE5Wf7KbaKx2bRXF3bu9O4frNvFn0Xsh9IEiblzc87qx/MGybh2ULg31EhdBTIzmWB47VusglioV8Dgr9BaLpVARF6fWuyv0bhy6l+6bjLNi4fQKvXvenPrpY9ee5PUKjxFyfmd9ZJgzB/7972xDJqtXV9/+6cZOmLJYLH5xI258XTfgrdC7AuubECw/hD5Q1E2uLPr9+3nk50Gcf2wO3HSTxldmlejGhxo11KI35rSG0Vuht1gs/tmwQZf5bdFXq5be2+HlYGxcnKY+CJRvvlw5PV+2Qn/4sIZLLllC6vxf6HhsL7P6vUe/92/OUX+qV09Lsla+fI4OzRPWdWOxWPwSGwtnnZWWE+assyAszNtY+owx9OCtRZ9VxI1LtiGWX34JzZvDQw/B0qUcbNqBrvzM8SE5E3lQoYfT76e3Qm+xWPyyYUOaNQ8aYlmzprcWfWJi5hw04eH68sp1k53Q160bwKI/cACuuw4GDNC7z4IFsGUL39w6g0V00oibHJJR6C+/XF37+Y0VeovF4pfY2DT/vIvXsfS7dqWJny9eJDZLSVEBD+Sfd/Fr0S9dClFR8MknMHo0LF+u+WnQiJuQEJ1fkFN8hd4YmDcv7zVrg8EKvcViycTBg2pt+1r0oIOmXgl9crLOMPUn9F6kQdixQ88RjEW/f7/6zQGYNQu6dtXR0gUL4PHHoUTacOa6dRAZmWUUZUB8hX73bv2eT0dpQSv0FoslExs36jKQRW9M3s+xZ4+2k19Cn11opYs7RrB98wl49lm44gpo2RIWLYKOHTPtv349uXLbgGZDCA1VoXdn12b8jvMDK/QWiyUTrkhGRqZfX6sW/POPWqJ5xZ14Va1a5m1eCL2bPCwYi74ji6jdvx088YTObv3pJ78dO3lSXVq5FfqQEG121660qCYr9BaLpUBwUwJkHCj1MsTSHZDML4v+l1+0nSyF/uBB2rx3D79xHvL3AXXbTJ16Kh5z2TIV4vh43X3dOs3R37Jl7vvlzo5dv14zJWRVVNwrrNBbLEWUGTNgwoT8aTsxUUMpncSLp3CF3osQy/wUemN0smr37llUxPr1V2jdmvIfjeMN7uG1W9fCZZela+O++9SCnzVL1y1cqMtOnXLfN1fo3aimkNOgwlboLZYiyujRcPPNml7Fa3bu1FmcGWdvemnRZ+e6+ftvjZzJDRs26M2oRw8/G0+ehCef1AHXEiWQ337jxVqvsWl3+hlMn38Ov/2mQvzTT7pu4UKdT9CwYe76BWmzY9evPz1uG8iB0ItIqIj8ISJfOZ8ri8gcEdnoLCN89h0pIptEZIOI9MqPjlssxZnU1LQwvxtvhCVLvG0/MTEtf7ovNWvq0ivXTfny/hM9upOm/v4gnzu9AAAgAElEQVQ7+Pa2bYM//9T3c+boMpPQb9kC55+vd8kbboA//oBzz6VOnfSx9CdOaDLKli1h6FANg0xJUaHPa6nX6tX1Jhcff3oibiBnFv19wDqfzyOAucaYRsBc5zMi0hwYBLQAegPjRcTjcsIWS/EmPl5zuY8Zo4I8eLC37e/cmSbqvoSHq0XrldD7c9tA7mbHPvighrpv3arp4Bs29PHPGwMffaSx8evWaXz8Bx+cykPQoEHaADTAxx/rPeGll+Dii3Xu1Ny5+qSQF7cN6DWnpGiXCpVFLyK1gUuB93xWXw5MdN5PBPr7rJ9mjDlujIkDNgEdvOmuxWKBtNqtXbvCnXeqKHmRG8YlkEUPOnjolY8+kNC7587JDWX7do2Fv+kmdbVcfLGzYds2neF6ww0q9CtXamSND40b683z+HH9/Pvveg/o1QsuukjXPfecLr0QepfCZtG/CvwbSPVZV80YkwjgLM921tcCfOeZJTjr0iEit4rIMhFZtmfPnhx33GIpzqxZo8tmzdJCIH0t0rxw7JhOIPJn0YMKfW7K72Vk9+7AQu/OOnXj+YMhMVHz8vz4o5Yi7Be1TcW9YUP49FN11/z0E9Srl+nYxo3VwnYLd7sDpSJ602nWDH7+WQd227fP4YVmwPeaM05Iyy+yFXoR6QskGWOWB9mmP+9VpukVxph3jDExxpiYqlWrBtm0xWIBtehr1tRUAa7Qe1V02o2GCWTR57bOqr/z+BuIdc8RFha80Buj7d18M3TrBgNCZtB7ZJSOqN59tyr4448HDMFxBddNzZwx/UO3brps3TpwJsxgcYW+du28txUswVj0nYF+IhIPTAO6ichkYLeI1ABwlknO/gmAbz662kAu66xbLBZ/rFmTVpLU9UN7JfRuDH0gi75OHbX485Kj5dgxdTUFsuhLlNAbWLBCf+CADqA2LJ/E7Go38nnqFYQ0jFQ3zSuvpK9s4gf3CSI2Vsc+tm5Nb2277pu8um0g7ZpPl9sGghB6Y8xIY0xtY0x9dJD1R2PMEGAWMNTZbSgw03k/CxgkIqVEpAHQCPA4JsBiKb64ETfNm+vnihU13t0roXcrIGVl0UPerPokxywMJPSg4hus0O/akcLtvMmNY5tQ6tPJMGKExkaec05Qx1esqE8XsbFq/GccKO3WTZu64org+pMV5crpgHbr1nlvK1jyUnjkBWC6iNwMbAOuAjDGrBGR6cBa4CRwlzEml9GwFoslI9u2qTXtCj2o9Xs6LXpQoc9t1EhWk6VcGjXSSJcsqzEdPAhz51JrxBjeZDl/Ne5GySlv5CpHQePGKvQZC66ARgHlZLwgOxYsyPravSZHQm+MmQfMc97vA7oH2G8MMCaPfbNYLH5wB2Jd1w2o0C8PdhQtGxIT1XWScVasixcWvSv0gXz0oBb00aOGXSuTqFHukPpUjhzRkdaFC+H773WZkkKJiJpcwzSennI1Ec1yF+TeuDF89VWanz4/B0pP1yCsiy0laLEUMdzQSl+jNTJSxx1TUrKY8h8k7qzYQFPz3dmxOaqzmgG/Fv2+ffDf/+psJ2MYknSU69lE+ejDmRsQgbZtdVZTz568s7gT0x8pydsB3E3B0KiRRgItXapPM+XK5b6twoYVeouliLFmjQqkW+IPVOhPntT4dj/RgzkiMTGw2wY0D3u1anmz6N30B2dXPgk/ztcJTFOmaGrM886DcuUoER7Bu5svIGZQIzr3qahTaMuUgdKl9XHGJ1pv59far4oVc98n18qeMwdiYnLfTmHECr3FUsRYuza9fx7Sh1jmVeh37sx+DDOoEMvERJ15lJio1npqqr727uXS/+2gf2gsJSuv11lKZcvCwIFaV8/xSZVKgX+XgfvqQOfrsz6VO/kqL6kJXKE/fPj0zVg9XViht1iKGHFxWsbUF1+hd0MBc0tiIlxwQdb71KmTVjjjFCdOaO6BGTPg228D3wnKlqWa1GJT6XPgtos1ZvGSSzIlvQkNDT7EMqtZtsHSsKHeKIw5/T70/MYKvcVShDhyRMvvZQwLr11bB1DzGnlz/Lga34FCK13q1DnlSkfi4+Ddd+H99zVu0s0d8K9/qQ+kbl0d2XXL8ZUqxdWdNW/O3JezPk+jRrBpU/b93rUrc5GUnBIerk9D8fFnnkVv0xRbLB6zYwcMG5azzIvB4g6AZnTPlCih6/Iq9O4gaVY+eoA6tQ3nHf6Okz37qCk8dqxa5v/7n9YI/PRTuP9+6NIF6tblZKmy6kR3Cq1mlf7AF1foU1Oz3s8Lix7SLPkzzaK3Qm+xeMzs2TBxor68xhV6fxM9vYild2Pos7ToFy7khgld+Y7esGqllt+Lj1eXTd++mapmx8Wpkf/dd/o5MVFnnmZX4g9U6I8d85/cbPlyHa9ITtZ7ixdC37y5WvbB9K0oYYXeYvEYN7nYu+96U0Tbl61bdelvwDU3Qn/ihAqpizsr1q9Fv3evpoY87zwqJcVyJ+P44Z04ePrptOB6P/z+u57jySf1+3jrLQ0DHTYs+/65g8IZ/fTGQP/+cM01aRE82bmbguHRRzXvWYkzzKlthd5i8RhXbFev9r4gyLZtGt/uT4gbNFAtzknh7uuv18y9bt53N0Y/k2h+/70G7n/0Efz73yQt2MSb3Mm2XSWzPYebEXLJEh2jfestuPTS4LITuPu4bbj8+aeGkq5eDd98o+u8sOirVoVzz817O4UNK/QWi8ds2aJiUbYsvPde9vvnhK1bdcJSWFjmbblJV7x6tU75v/pqnRX69NOa1+VUiHpKiqb37d1blfSPP2DsWKqfU46QkOBi6Tdv1hQCNWrAtdfqeO199wXXvzp11LrOKPSzZ+syLAxedgZ0T2dKgaKGFXqLxWO2bNGEVddcA1On6ox9r9i2LXAixtykK05IUKv5hx+0LnarVvDFF048emysxlk++aQW7li0SGvroeJbs2bwQt+4sVaAOnBAHwy6+02ekpnQUKhfP/M1zZ4N0dFw+eVpKQus0AfGCr3F4iEHD2p4YmSk5kb/5x+1lL1i69bAE6JyatEfPKiv4cPhqaegY0d1g1QMP67llNq00TSZH30EkyZlSp5et27amEFWbN6sgTm33aZuolGjcjaxqWHD9Bb9X39pYso+fbSeq0tWeXOKO1boLRYPcUU2MhI6dNAIDq+SjaWkqAUeyKKPiNBCJMFa9G4kS+3aKr6Lfj1JtXmfqFn/2GOqpKtXw5AhfpW5SZO0TI+BOHFCn0IaNtTcMX/8oU86OcEVendg+/vv9bu49FIN1z/7bL3u8PCctVucsEJvsXiIK7KRkereaNVKxc0LEhM1n01WKQ5yEnnj1n2tW+UfeP11jWUcNEj9Jd9+q1nSsgiob9pU49d9a9X+849GrrRsmRZGmZqqYp1bGjbUOQn79+vn2bM1z0+HDuqjf+wxuPLK3LdfHDjDgogsloLFFVk3Djs6WucOZZlTPUgCTZbyJTJSI1KCYdfGQzzBK3S65lX4+y9NJvbKK9CvX+DUlT642TPXrdO5UqtWaRi967f/4os0d1JehR7Uqq9cWe9BvXunZem8997ct11csBa9xeIhcXGaQTEiQj9HR6tPOS8pfV1cf3hWVfEiI7UPAWeSGgMrVsAzz3DFv8/hGUbpgOuCBfrq3z8okYc0oXdz3owfr9f6yy86+DprVppv3SuhX7dOo3Yuvjj37RVHrEVvsXjIli0qtq71Hh2tyz/+yHtWyaxmxbpERqpffOdO9b2fYvt2+PBD+OADvROIsL1mN/5VcgzfzOqYq/7Urw8lS6r4gsbJd+qkWQ/69YPXXtM+lCmTt4gY32gid47A+efnvr3iiLXoLRYPcYXepVUrNZC98NNv3apPCuXLB94nXYjlyZOae6ZvX1XlJ5/UHd5/HxITeajNDyQ1yJ3Ig45BNG6sQn/smLqM2rfXbf36aWqCadPSskLmljJlNAZ/82aYP19vGnl5QiiOWIveYvGI1FQ1li+7LG1dmTIaneKF0G/blv1TQWQk1GEbFf7vfbj2fQ2tqV4dRo7U9AU+d6GEBNX/vNCsmV7bihV6X3GFvlMn9afv3++NKLuRN1u2qKcpr+MdxQ1r0VssHpGYqG6TjOlyo6O9s+izctuwYAEN7u1LHA1oPWu0Pk58+aXeIZ59NlPHEhIyuHdyQbNmKr6//KKfO3TQZYkSGv4I3gh9ZKSW+EtIsG6b3GCF3mLxCN/QSl+io1Wg9u4Nvq2UFM1+6R6zfbs+Lfi16Ddu1CmiXboQsnwZ4ys+yr8u36Kzn/r395sv4cgRtbbzKvRNm+qTzJQpGonpG43Zr58uvbLojx7V91boc44VeovFI7ISelD3RrB8+61md2zcWLMAR0err3/wYJ+djNHB1ehomDdPZ7Nu2cKMdqNZklQ/U5upqXDXXeqi950slRfcyJuVK9PcNi6XXgr33KP3oLzi3iwqVjyVhcGSA6zQWywesWmTxnZntLqjonSZE/eNG8nSooV6XapXV9dFp07ODomJcNVV6ndv314rho8cCWXKBJw09eKLGgL5wAM64RXyLvSNG6f5y123jUvp0joPK7siJsHgCn2XLmnx85bgsUJvsXhEbKxOlCqZIXNvlSqacTLYiUygQl+tmkaZLFgAixc75e2MUZO8WTNNovP885qRzEexIyM1R/s//6S1t2ABPP64CuWhQ/oe8i70Zcqk3dgyWvRe0rixeqCCTYZmSU+2Qi8i4SKyRERWisgaEXnaWV9ZROaIyEZnGeFzzEgR2SQiG0SkV35egMVSWIiNDVyCrkWLNCs6GNavV/+3iE5YLVsWzTVwzTVwyy36mLBqFYwYkcnEzZjFMiVFk0/Wqwdff60uFTfvfK1aObtGf7jum5iYvLcViMqV1T109935d44zmWAs+uNAN2NMGyAK6C0i5wIjgLnGmEbAXOczItIcGAS0AHoD40XEPmxZCgVTpmhRa68xRoW+USP/21u2VCs9JSW4ttatU6E/xezZKu5ffKFW/I8/BryruMLrPkHExmrEzuOPQ4UKmosGVDzLlAnu+rJi4EBNkRMRkf2+eaFZM/95+C3Zk63QG+Ww8zHMeRngcsCtijkR6O+8vxyYZow5boyJAzYBGbx3FkvBcP/9cMUVadP2vWLnTo1kycqiP3YsuIRje/dqKoGmTdEDBg5UM7x0aY1jHDEiyzQFzZpp2VZ3TGDlSl26g8LnnacukHQ3kjxw882ad99SeAnKRy8ioSKyAkgC5hhjFgPVjDGJAM7ybGf3WoBvOYIEZ13GNm8VkWUismzPnj15uQaLJSiSklRE//lHPSBuuJ4XuMUvAgm9GymyZk32ba1fD+U5SP/5/1I1/vZbHZFdudJnNDYwYWF6Pl+hDwvTwtcuM2aoG8dSPAhK6I0xKcaYKKA20EFEsgpw8jdnLVOJZGPMO8aYGGNMTNVTdcsslvzD9ZE/+KC6tx95xLu2sxN6V2SD8dMf+vx7VtOSejNfgxtu0Dj5xx7LPMqbBe4kLWNU6Js1S394uXKaw91SPMhR1I0x5gAwD/W97xaRGgDOMsnZLQHwLQlfG9iZ555aLHnEFdmHHtLapR9/nFbMIq/Exmrhi0BRLOXKabqBLC369ethwAD6vNaLI1IW88sCLTqbi/jE6GidELV9uwp9mzY5bsJyBhFM1E1VEankvC8NXAysB2YBbiGvocBM5/0sYJCIlBKRBkAjYInXHbdYcsqaNToAWa2ahhnu2xdczdNgcAdis8rw27JlAIt+xw6t59eiBcyZw+RGT3NDyz8IOe/cXPfH9cfPmaPjB24sv6V4EoxFXwP4SURWAUtRH/1XwAtADxHZCPRwPmOMWQNMB9YC3wJ3GWOCiDWwWPKX1atVbEWgbVtd51WZv6xCK11atNDSe8nJzopjx7SG3znnkPrhRL5tdA8Hft/CqJQniWyet7p4rVrpdX74oX62Fn3xJpiom1XGmGhjTGtjTEtjzDPO+n3GmO7GmEbOcr/PMWOMMQ2NMU2MMd/k5wVYLMFgjFr07qBo69Yafv7773lvOzlZg2OyE/qWLXXfjRtS08Iln3mGjS37c87JDVyy4VV6DalKXFzeI2LKldP+/PqrfrZCX7yxM2MtxYIdO7TuaIsW+rl0aR0g9ULo4+M1RW+2Fn3jZG7nTer0bKrhkidOMPu+72i8bCot+jZg6lR9wjDGm9BH131TqxacdVbe27MUXazQW4oFrm/cNyFW27beCH12ETcA/PADbYZF8SZ3ciCkss7cWr+e19f3pFkzzSY8aBB89BGcfTZ0zH09kFO4Qm+teYsVekuhYvVq6Nw5TTy9wo12cS16gHbtYNcuHazMLSkpaTcLv0L/9986o6hHD0JOHOeOmjO5r/1CDfspWZJ161SQSzglgAYP1j65xcXzghV6i4utMGUpNOzZo9WZ4uN1jlB2rpCcsHq1ZoCsUiVtnTsg+/vvOYtg3LoVPvlEc4otXapjqmefnb5tQC9i+HC9k4wcCU8+yd7rw/nTSVf8zz9aE8RNWeDiVfWkDh10LKJvX2/asxRdrNBbCgXHj8OAAWrNlivnTUUmX9asSW/Ng1q6Iir0ORHDXr00eiY6Gu68U4X6/PN9BPrQIc21MGGCbly48FQO39at4fPP4fBhnQcF3qUiyEjFimnpDyzFGyv0lkLBhAkaITJ1qtbS8FLoT55UoR8+PP36cuU09W9OQiwPHVKRHzUKnnrKzw4bN2pVp/XrdertU0/pTCqH1q11sHX16rS8N/kl9BaLi/XRWwoFM2aoq2bQILWU16xRK98L/vxTE475G+Bs1y5nQu/6+l3/9ymMUX9Ohw6aDP777+GFF9KJPKT5y1et0ntBSEjgjJcWi1dYobcUOH//DT/9lFZyLjparXA3Z3peWbhQl/7ygbVrp6GXu3YF19aqVbps3dpn5aZN6vsZNEhVe9mygBUy6tWD8uXThD4yUjNNWiz5iRV6S4Hz7bc6kcgtJu1ay165bxYu1IFYf4W1XSt/8eLg2vrzT3X51KuHOsCvuUb9Pz//DK+8oierXz/g8SJ6k1i1yk/OeYsln7BCbylwZs2CqlXTLO5zztGKSl4KfadO/qNZ3NDGRYuCa+vPP+HSczYQcu0gndn67beaJW3jRh2ADaKgaevWeo+IjbVCbzk9WKG3FCjJyZoNoG/fNI0MCVFfthdCn5QEmzcHTuNeurSeKxiL3vy6gEd+68fHK5x6rY89prGgY8dCjRpB96l1azh4EE6cyBxaabHkB1boLUFz4oS+vGT+fC2F6vrnXaKj1epNTc1b+66lnlW9jo4dNR4+UJm/42s2wcCByPldiEleyPJLntCQmWefzVX9PN8JTNait5wOrNBbgsIY6N1by/B5yfvvq8+7R4/066OjNdZ806a8tb9wobpm2rULvE/HjnqudesybFizhuNXX09oy6Ycm/UdsTc8Sz22cnTE0zpDKpf4pmGwQm85Hdg4ektQzJihkTFly6rlG4QrOh1//aXhktWqpfnKN23SiMSHHspcpNodkF2xIm8zZBcu1LZKlw68z7lO2vfFiwwtS2+Bb76ByZPVnxNWlte4j5dOPkyD2OocRVMA54Xy5TXa5vBhzY9vseQ31qK3ZEtystajDg3VafsbNuS8jQ4d1I1dqRLcdJOK/osvai3TBx7IvH+LFhp2GOwgKegM14su0rQCoG6mpUuzKbOalESj5dOYWHI4lz8QqSPB99wDx45x+MkXOafEVhZf9X80uaA6ixZpBalceGsy0b+/pnuwWE4H1qK3ZMu772qEyNixOtlz2bL0haaz4+BBtd4vu0zT5X7wgbq4f/tNZ6tWr575mFKl1NL++efgzzNnDsybp2Ga8+dreoIjRzQj8Cn++Uc3/vADzJ0LK1ciwIASFVkcchHd33gILr4YmjThyX/BzuMwerS6l6KisnYB5YT/+z9v2rFYgsIYU+Cvdu3aGUvh5OBBY6pWNaZrV2NOnjSmbFlj7r03Z20sWWIMGPPll/r5gw+MCQkxJjTUmLi4wMeNGqX7/fVXcOe57TZjSpXSY2rV0nOOGeNs3L9fG6xUSTeULGnMRRfpDosXm6ceTzYhIXq9xhizZ48x4eHGDBuW1v62bcYkJeXo0i2WfAVYZoLQWGvRW7LkpZc0q+RLL6nrJjpaLfqckDFf+7BhUKeOtpvF3CK6doWnnzb8Pn0z3epu0umriYn6ct8fOaKPBGefzWU/lOTCiqWo2746H3xdlT5dj9D/cBJc8Iv6gJKT1Wdyxx1aNNZnYOC8vyH1WViwQAedf/pJs1Ledltaf+rU8dNJi6UIYIXeEpCdO9XFMGgQtG+v62Ji4O23NUVBiSD/ejZs0Nj4hg3T1gXIEKCkpMDcuZz/0VQS+J5at2VIGF+hgjr8a9RQkd+1C1aton3iScqGHKXs139zHsDPwHynQOwDD8B112XIXZBG5846XvDjjyr08+apu8YrV43FUpBYobcE5Kmn1AgeMyZtXUwMvPqqhiIGG32yYYMW0sg2p8sff2i0y8cfw65dlKhYkfVVezOxzEU8OqVlmrBnDNFB4+3rlIb77oMXnz4Ke/fqfhUrBnVHKlNGB21//FE///yzGv1hYcFdo8VSmLFRNxa//POPpg4ePlxDAV1iYnSZE/dNbGwWIZLHj8O0aTry2rYt/Pe/+v6zz2DXLn6+fRpPbL+Nv1t21o74EXlQL86JE05lptKl1c9SpUrwjx1At256r4mN1SyVXbsGf40WS2HGCr3FL6tWqQelZ8/06xs10jjwYIU+NVWFs0mTDBt++kl9QlWrav28/fvh9ddVsb/8EgYOhPBwLrxQ21iwIOvzxMXpMi8l+C66SM81erR+vvDC3LdlsRQmrOvG4hc3z0zGvOshIWp4Byv0O3boeOkpod++Hf71L7XYzz5bsz8OHKh3lJDMdkenTuo++fln6NMn8Hm8EPqOHfVh4OOPdWKY9c9bzhSytehFpI6I/CQi60RkjYjc56yvLCJzRGSjs4zwOWakiGwSkQ0i0is/L8CSP6xYoROD/EWanHuu3gj278++nVMRN40MvPeezoT6+ms1m7du1SD93r39ijyo8LZtm/3EKVfo/aUiDpZSpdQvn5qaNjhrsZwJBOO6OQk8aIxpBpwL3CUizYERwFxjTCNgrvMZZ9sgoAXQGxgvIjmcMG8paP74Q615f6l9r7pKB2k/+yz7djZsgHPYyHmje6vDPyZGK4o8/nim6kuB6NhRnyBOnkxbt2OHztYdNkyFOS5Ox2qDbDIg3brp0rptLGcS2Qq9MSbRGPO78/4QsA6oBVwOTHR2mwj0d95fDkwzxhw3xsQBm4AOXnfcoj70det04NCd9u8Fycmadz1TuTyHtm3VFTNlShaNxMbCpElEvXkbq2lJqT8WwRtv6IzUrILn/dCxo7p/Vq/Wz2++qU2MHQsTJ8J336nQ58Vt43L55TqGa9MTWM4kcjQYKyL1gWhgMVDNGJMIejMA3HR+tYDtPoclOOsytnWriCwTkWV79uzJec8tvPCCpiJo2VKFL6cTmQKxfr0GwwQSehENSZ8/P8MNZt06eOYZTMuWeicYOpSotVP4rvJgZMMGuOuugC6arPCtAmUMPP+8Phhs2KBJ0saN07TwXgh9s2YamembYdJiKeoE/V8nIuWAz4H7jTEHs9rVzzqTaYUx7xhjYowxMVWrVg22GxYfpk9XMZ42TSNhcpM/JSUl89NAoIFYX669Vpez39gCzz2nE5GaNyd11FMs2VyFu/kvzVlD+dS/+ezSD/0ntAmSyEjNkbN4sY4dbN8Ot96qIZu33qqFS7Zt80boLZYzkaCEXkTCUJGfYoz5wlm9W0RqONtrAEnO+gTAdwivNpBhaqMlr8TFaQjkdddp4Mqtt8Knn+bchfPcczpj1S16DSr04eFZxL7v3EnDr19nVblO3P5SQ620VL48K296jdok8OQFP9Ni/N28MLM5X84M5T//yfVlAvoE0aGDCv3MmfrZTVR22236kGCMFXqLJSDZJcNBLfRJwKsZ1r8EjHDejwBedN63AFYCpYAGwBYgNKtz2KRmOefVVzU3V2ysft66VZOEPfRQ8G0cPGhMRIS206tX2voLLzSmQ4cMOx8/bsy4cbpBddUk1Wpj/s0LZt238cYYY266yZiKFY05cSJv1+aPp582RsSYRo2M6dw5/baBA7VLP/7o/XktlsIMQSY1C8ai7wxcD3QTkRXOqw/wAtBDRDYCPZzPGGPWANOBtcC3wF3GmABF2iy5ZdYs9Sc3aqSf69aFK6+Ed96BQ4eCa+PNN7UgyJAhOqD53Xeq4CtW+Lhtjh2DSZP0ZHfdpaEvzz0Ha9difl/B/4U+woc/1SM1VV0ovXrlT1hix47at40bM5cdHDlSLf6oKO/Pa7GcEQRzN8jvl7Xoc8b+/Wq9jxiRfv3ChWrZvvde9m0cOWJMtWrG9OxpzLFjxkRGGtO4sTGXX65tTBq705gHHzSmcmVd0aaNMd98Y0xqarp2LrnEmLp101IRT5zo4YX6sH//qQcJs2FD/pzDYilq4KFFbykgli7VnDMZmT1bB1EzWrYdO2oFpK++yr7tV16B3bvVvV6qFLz0oiE5dgtn//I5P7e6myGjIjV7WffuGhL5++86sSlDYP211+q4wKOP6qZLLsnDBWdBRITWV23SJG+lBS2W4ojoTaFgiYmJMcu8ig08Q9i3T0MHhw9XF4vLypWqt2FhGlKYMVrx9ts1AeS+fYGzRS5cCFefn8iI6O+4s9MfyIo/tOGDTjBViRJw/fV6F/DNLeyHw4e1n0eO6I0mJ6X/copb6NtNmWyxFHdEZLkxJia7/axFX0hZskSt9okTVbRBc6RfcIGK3Tff+A9J79s3rVpeJg4d4vC4iSR360l8Sm3uWnYjMuF9PdGQIZqOYOlSFfwJE7IVedCc7e6TRd++ub7coOjUyYq8xZIbbFKzfCFQOqwAABqjSURBVCA1VQtgu/lX7r5b0wbkhMWL1RVy9KgW+hgyBK64AmrV0kHTQNWOunXT0Mivv4YePdBprt9/D5MnkzpjJuWOHaUWkey65XFq3XeVDrKG5i1Dxa23whdfwIABeWrGYrHkE9Z1kw8sXqyJv6Ki4O+/tWTepk3q4giW3r21wlPNmupVadRI49tXrMje0O5ziaH0n0v4rP9k5JNpsHcvJypUYdKxa5hWYgh3fXQuVwzwN68t95w4ASVLetqkxWLJhmBdN9aizwdmzlQjee5cnU7fooVWa/L1tWeFMeq6GThQnwR69dJqeZMmZSPyGzfClClMXTaZins3k/peONL/clIHX0fjO3pRtnZJZs0KyiOTY6zIWyyFFyv0+cCsWepLr1xZX3fcAePHwz33aG6a7Ni4UePbO3ZU90v37mrRDxniZ+c9e+CTT3QE1vH3lDyvG8P2Pk6rRwbw4NMVWLwQtibC5JfyR+QtFkvhxg7GeszmzZpN0jf08cknddDy8ceDa2PxYl127Kh++jlz9GngVGTjkSMwdarmAahRQ+8gx47BSy/B9u2U/vUH4rsO478TK5CSAp9/rlE6+T1YarFYCifWoveYmTN12a9f2rqzzoIbb4S33lI9zi5n+uLFemNwrf9TAr9okSr+F19oXGPt2vDQQ5rwJkOl7rvugquv1pj7zz/XJ4OKFb25RovFUrSwFr3HzJypmpsxwVb37irywcSZL16sYYSngmF279YKG5066QkGDdJYy61bNVdxBpEH6N9fB3IfeEDj7W1EjMVSfCl2Qr90qU5CuuUWePppjRbxin374NdfM89YBfXZuwO0gUhJgVGjYPlyuKBzilru/ftrIpuPP9aSSjt2aLx7165Z5nYPC9Owx82b9bz++mSxWIoJweRJyO/X6cp1k5pqTFSUMeHhxtSooXlTXn/du/anTtU2Fy70v/3cc4057zz/23buNOaii4wpx0Hz5vlTTEqz5tpYjRrGPPCAMevX57g/O3YYU6KEMd265fhQi8VSBMDmusnM119rHPqbb6ph3L27WvUHDuSsnYMH0+dvd/nuO83JEmj2ZrduGjaZMbvkj18dYXTTyYz8uTcHQqtw+y/XEWJStaLI9u3wn/9okpccUrOmBuS88kqOD7VYLGcQxUbojYHRo7Xk3nXX6QDnyy/D/v2adTcn3HGHTob673/Tt//99zroGWiiabducPKkYcn/dqsj/t132XfRlbS/rBrjD15P1xobCL3/XvW/r16tFUXyOGt1wAAt/mSxWIovxSbq5ocf1Jp+6620fOlRUTB0KLz2mkap1KuXfTt79mglp4gIuPdenb363HOqyzt36uSmdBw/DgsWwHffceFvi9jPKiKuS3uECC1fm09kMIO/HkLZXl1yVVPVYrFYsuKME/pvvlEvR2Rk+vWjR2s04rBh6dc/84zOOH33XXj22ezbnzhR08fMmwdvvKFBL61bQ0KCbu/Zw0DsxrRKHj/9pHHvYWGExsQwv+Yg1oc055E3G0CjRvS6vjElSwm35FN6X4vFYjmjhH7hQujTR43iAQPU0m7UCH7+GX75BV5/PXPq3jp11AqfOFH99Vl5SoyBD986xlUxO2l1YAdvdt1B8292cOCmHUSV3sGyMjup3SlOBwAAzjlHA+h79YKLLoJy5djwIox4BK5qDlWrwvLfNZjGYrFY8oszSuhffx0qVNCc7G+/ra6aZcvUUq9WTUMq/XHjjTq5aO5c6NnTZ8Ndd2kKyiNHYP9+TsbvYPWh/brtAh3guA/4hzLsOFaLkDq14IILoXNnFfeMjxVoCPwjj+jE1nbtNKTywgu9/R4sFovFlzNG6HfsgM8+02wAY8dqMrDzz1cRXbtWswOULu3/2H79NCfNhAkZhH77dnXKly6NqVefr5I6sz6lFg+9Uouw+rU0Z3CtWrz4n4o8M1r44QM4p3vW/axbV/s1ZYpG74SF6Twoi8ViyTeCicHM75cXcfSPPWaMiDGbN6et++gjDUWvUsWYQ4eyPv6ee4wpVUprk/pjwgRt64MPMm9LTjZm7txM5VQD8uab2la1aoHj6i0WiyU7KE5x9Js3azTNZZel95YMGQLvvaeDreXKZd3GjTdqgMykSWnrbr1Vnwy+/Rb+/W/1yNxwQ+ZjS5TQ0EkJMsX7lVfqMbt3W7eNxWLJf4p84ZHly3UANiUFfvwxbzHjXbpoiOTGjerbP/dcda0kJ+sg7e+/exeT3revTuByY+8tFoslpxSLwiOLF8PFF0OVKhrJmIvJo+n417+02MfMmZpaplIlWLcOvvxSMz96OfHo/vshKUmfEiwWiyU/KdIW/cGDGhgzdqxO988rKSkajlmyJMTGwqOPBhdbb7FYLAVBsBZ9tj56EZkgIkkistpnXWURmSMiG51lhM+2kSKySUQ2iEjGeaKeUqECfPSRNyIP6p657z7YsEHF/p57vGnXYrFYCpJgBmM/BHpnWDcCmGuMaQTMdT4jIs2BQUAL55jxIpK3ZC2nmZtu0kIhw4fnrJi3xWKxFFay9dEbY+aLSP0Mqy8HLnTeTwTmAY8466cZY44DcSKyCegALPSmu/lP+fLqtskuSsdisViKCrkNr6xmjEkEcJZnO+trAdt99ktw1mVCRG4VkWUismzPnj257Eb+EBGRlvjMYrFYijpex9H7iyT3O9prjHnHGBNjjImpWrWqx92wWCwWi0tuhX63iNQAcJZJzvoEoI7PfrWBnbnvnsVisVjySm6FfhYw1Hk/FJjps36QiJQSkQZAI2BJ3rposVgsRZvU1NQCPX8w4ZVT0cHUJiKSICI3Ay8APURkI9DD+YwxZg0wHVgLfAvcZYxJya/OWywWS2FlyZIl9OzZkzp16hAWFkaXLl145ZVXKIgxySI9YcpisVhyijGGcePG8b///Y8lS5ZQtmxZevXqxQ033EDXrl09Ocf8+fO59NJLqVixIt27d6dq1ar88MMPrFy5kvDwcG688UaGDRtGu3btCM1DudBgJ0wVeOZK41H2SovFYgmG//u//zOAadGihRk+fLi58sorTaVKlQxgRo4caZKTk/PU/vz5803p0qVN06ZNzY4dO9JtW7Nmjbn55ptNyZIlDWAiIiLMyJEjc30ugsxeaS16i8VSbJg9ezaXXXYZV1xxBdOnTyfEqdF89OhR7r//ft555x26dOnC1KlTqV27do7bT0lJoVWrVpw4cYLffvuNs88+2+9++/btY86cOXz//fc0a9aMhx9+OFfXYy16i8Vi8WHjxo2mQoUKJjo62hw+fNjvPpMnTzZly5Y1VapUMV9//XWOz/HBBx8YwHz22Wd57W5QUJzy0VssFktWnDhxgsGDBxMaGsqMGTMoW7as3/2uu+46li9fTs2aNbn00kvp1q0bc+fODeocx48fZ9SoUcTExDBgwAAvu59ninSaYovFcnowxjBlyhRmz57N4sWLqVKlCv379+faa6+lfv36np1n/PjxjBs3jpSUFEJCQoiIiKBKlSpUqVKFypUrn3rvvpo2bUqNGjWybXfUqFEsW7aMzz77jLp162a5b5MmTVi8eDFvvfUWL7/8MhdffDFDhgxh3LhxVKhQwe8xxhieffZZtm3bxoQJE5BgqxCdJqyP3mKxZMt//vMfHnzwQWrWrEmnTp3Yvn07S5YsISwsjPvvv5/HHnuMihUr5rr91NRURowYwUsvvcS5555LvXr1OHnyJH/99Rf79u1j37597N+/nyNHjmQ6tnXr1sTExFC6dGmqVatGdHQ0zZs3p3z58mzbto1XX32VKVOmcMstt/DOO+/kqF/Hjx/n+eefZ/To0dStW5c+ffpw1lln0bhxY9q0aUOVKlU4evQoDz74IDNmzOCaa65h2rRpuf4ecor10VssFk/4//buPTaq8k3g+PeZtrRFtheh7lTAluWm3Eq5yRpaREEsK7CLgBA2GxXBFdcIqOuabtWNRAxBsv6CZWlQCBLcIIqLWVAM4A8oINDWDkUI/UE6tTCFcmlheoGZ9tk/ZtptoS1t6XR6eT/JSU/PnPOe95kz55kz73nPOd99952KiM6ePVsrKytrptvtdn3ppZdURLRHjx46f/58/eabb/TKlSvNKt/hcOjMmTMV0CVLlqjb7W5w3rKyMi0oKNDs7Gzdu3evfvLJJ/rkk0+q1WrVyMhIFRHFc9uVmqFHjx66bNkyLS0tbfF7kJ6ermPHjtWePXvWu46goCD99NNP67w/bQHT68Ywugan08lPP/3EmTNnuHLlCuPHj+epp56iNe4hlZmZyYQJE4iLi2Pfvn2EhobWO8+6devYsWMHV69eRUSIi4tj0qRJJCYm0rNnTwIDA+sMAQEB2O12MjIyWLNmDWVlZaxcuZKlS5feV7PHzZs3yc7OJjc3l9LSUoKDg5kzZw4RERH38zbU4XK5OHPmDCdPnuTmzZsATJgwgaFDh7baOpqqqUf0JtEbRhu4ffs2QUFBrd52W1hYyDPPPMPJkycBCAkJoaKigoCAAJYtW8aHH37Y4InHe7ly5QqjR49GVTlx4kSDXQWruVwujh07xv79+9m/fz+HDx+moqLinutJTEwkLS2Nwff7LNAuyCR6w/Czq1evkpKSwsGDB/n999/p06cPzz33HK+88grx8fH3XX5+fj6TJ0/mwoULbNmyhSlTphASEkJGRgYbNmxgw4YNxMbGsmjRIqZNm0ZcXFyTv2jcbjfPPvsshw4d4tChQ4wZc+9m4DtVVFSQnZ2N0+nE7XbjdrtxuVw1471792bYsGFERkbeuzCjXqaN3jD86PTp0zpgwADt1q2bJiUl6XvvvaczZ87U7t27q4jowoUL1eFwtLj8a9eu6aBBgzQ8PFzT09PrnefAgQP6+OOP17QjP/zww7pw4ULdvn27FhcXN1h2YWGhTpo0SQH94osvWlxHw/doYhu935O8mkRvdDI2m00jIiI0KirqriRcXFysb731lgYFBWlISIguXrxYbTabVlVVNbl8t9utU6dO1aCgID148OA953c4HLpx40adM2eOhoeHK6CBgYHav39/feSRR7Rfv34aHx+vkyZN0lmzZml0dLSGhobqpk2bmh270baamuhN043RJZWXl3Pq1CnsdjslJSVERUURGxvLsGHD7qsdvbKykieeeIK8vDx+/fXXBvuY5+bmsnr1ajZv3kxFRQWDBg1i7ty5LF26lJ49ezZYflVVFW+++SZr164lLS2NRYsWNat+LpeLo0ePsmvXLux2O8HBwbhcLkpKSrh+/TrFxcWEh4ezbt06RowY0ayyjbZnmm4Mox6nT5/W119/vebI9s5h8ODBumLFCs3IyGhRV7nPP/9cAd2yZUuT5r98+bKmpqbqlClT1GKxaFhYmL7//vu6efNm3bZtm6anp2tBQYG63W51Op06a9YsBXT58uXNrpvR+WCabgyjru+//15DQ0M1ODhYFyxYoN9++61mZWXp+fPn9dixY5qWlqaJiYk1Sf/BBx/UWbNm6dq1a5vUNzw/P1/DwsJ08uTJzWqKqZaTk6MzZsyo9wsoMDBQw8PD1WKx6Jo1a1pUvtH5NDXRm6Ybo9mqPzzVd/5rTXv27OGzzz6juLgYl8tFbGwsI0eOrBmio6Ob3bRy4cIFvvrqK5KTkxk9ejQ7d+7EarU2OP/FixfZv38/+/btY+/evdjtdqKiokhNTWX27NlU7zO167F7925efPFFnE4n2dnZDBgwoGVvAHDp0iWcTidlZWUUFBSQn5+P3W7H4XAwb948pk6d2uKyjc7FdK/sYlwuFwUFBVy6dInHHnvsvi5Hr09ZWRnLly9n9+7dXLp0CYvFwujRo0lISOC1116jb9++9y6kETabjXfeeYc9e/bQt29fBg8ejMVi4dy5c5w7d65mvgceeIDo6GisVitWq5WQkBDsdjsXL16kqqoKEcFisSAiiAi3b98mLy8PgBkzZrB169Zm9StXVbKysli0aBGZmZlERERw48YNVJXQ0NCaoaCggOHDh/P111/75cIZo2syib4LqKqq4ueff2b9+vX88MMPuN1uAAICAhgzZgzJyclMnz79vteTm5vL888/T05ODrNnzyYmJqbm4phjx44hIsybN4/p06eTkJDQ4E2mbt26xY0bNwgODiYsLAyXy0VmZibr169n06ZNREREkJKSwpIlSwgODq5ZrqSkBJvNRlZWFnl5eRQWFuJwOCgsLKSsrIyYmBj69OlDQEBAza+Nqqqqml8do0aNYsqUKYwYMaLFJ1rdbjepqamcPXuW8PBwLBYL5eXlNUNMTAzvvvsuISEhLSrfMFrCJPp2QFXJyMjgyJEj5OTk4HQ6sVqtxMbGEh8fz8iRI+nRo0eLyt25cycpKSmcPHmSXr16sWDBAoYPH05UVBTHjx9n+/btnDlzhsWLF7Nq1aoWHeFXVlaydu1akpOTCQ4OZuvWrXc1G9jtdtasWcOXX36J0+kEYODAgSQkJDBkyBD69u3L8ePH2bp1KxcvXqxZLjIyEpfLhdPppFu3brzxxhskJyebi2cMoxlMovejW7dusXHjRtatW4fNZgM8iS0iIoLCwkLKy8sBTxvvoEGDGDVqFKNGjSI+Pp6YmBgiIyPZsWMHGzdupKioCLfbTVhYGL1796a0tBSbzcb169cZOHAgKSkpzJ07t84RcHUdPvjgA1atWkVAQAATJkwgKSmJpKSkJnUhPHz4MEuXLuX48eMkJSWxfv36RptnXC4Xv/32GwcOHODAgQMcOnSIa9euARAYGMi0adMYN24c4eHhlJeXk5eXh8ViYeLEiUycOLFV7stiGF2NSfStoLH7k9R+30SEW7ducfbsWdLT01m5ciX5+fnEx8fz6quvMmPGDKxWKyKCquJwOMjKyiIzM5PMzEwyMjL4448/7lrH8OHDGTZsGBaLhZKSEgoKCggJCSEuLo6EhAReeOEFAgMbf6RAZmYm27ZtY/fu3TVfOlarlfHjx9O/f3/sdjuXL18mMjKSyMhIAgICcDgc7Nq1i+joaFavXs38+fOb3eShqhQXF2O32+nbt2+jfcMNw2gZk+hbwaOPPkpubi7du3ene/fuNSfxioqKapop6jN27Fg+/vhjnn766SYnyKKiImw2GwUFBVy+fJlx48aRmJjYqjfBunDhAj/++CO//PILR48exW63069fP6xWK8XFxVy/fp3KykoCAwN5+eWXefvtt1t8QyzDMHzPJPpWkJqaSmFhIaWlpZSWllJWVkZlZSUPPfQQ4eHhNUfo4DkBOnDgQIYOHXrfV1e2FVXtEPU0DKN+TU30PnuUoIg8C3wGBAAbVPUTX63LV5YsWeLvKviUSfKG0TX45OHgIhIAfA4kAUOA+SIyxBfrMgzDMBrnk0QPjAP+oqrnVfU28N/ATB+tyzAMw2iErxJ9b6B2N5IC77QaIrJYRE6IyImioiIfVcMwDMPwVaKvr/G3zllfVU1T1TGqOsb0oTYMw/AdXyX6AqD21TV9gIsNzGsYhmH4kK8S/XFgoIj0E5FuwDxgp4/WZRiGYTTCJ90rVdUtIv8C/ISne+WXqnrKF+syDMMwGuezfvSqugvY5avyDcMwjKZpF1fGikgRYPd3Pe6hF3DF35VoJSaW9snE0j6151hiVPWevVnaRaLvCETkRFMuNe4ITCztk4mlfeoMsfjqZKxhGIbRTphEbxiG0cmZRN90af6uQCsysbRPJpb2qcPHYtroDcMwOjlzRG8YhtHJmURvGIbRyXXZRC8iX4rIZRHJqTUtTkSOiMhJEflBRMK802NFpFxEfvMO/1VrmdHe+f8iIn8SPzzNozViEZHuIvK/InJGRE6JiN8eFNNa26bWsjtrl9WWWvFz1k1E0kTkrHcbPd+BY5nvnd8mIj+KSK/2HIv3tRHe1055Xw/xTvf7/t8kqtolByARGAXk1Jp2HJjoHX8Z+Mg7Hlt7vjvKOQb8LZ47du4GkjpiLEB3YJJ3vBtw0B+xtOa28b4+C9ja2DwdIRbgP4AV3nEL0KsjxoLnavzL1fUHVgEftvNYAgEbEOf9vycQ4B33+/7flKHLHtGr6gHg2h2TBwMHvOM/A40eNYlINBCmqkfUs9U3A3/f2nW9l9aIRVXLVHW/d/w2kInnrqNtrjXiARCRHsByYEWrVrAZWisWPIlnpbfMKlVt8ys1WykW8Q4PeI9+w/DDnW2bGcszgE1Vs73LXlXVyvay/zdFl030DcgBZnjH51D3Vsv9RCRLRP4sIgneab3x3JK52l0PWPGj5sZSQ0QigOnAXt9Xs8laEs9HwKdAWRvVsamaFYt3ewB8JCKZIvKNiPx1G9a3Mc2KRVVdwGvASTwJfgjwRRvWtzENxTIIUBH5yfv+/6t3enve/+swib6ul4HXRSQD+Cvgtne6A3hEVePxHCFu9bbf3fMBK37U3FgAEJFA4GvgT6p6vo3r3JhmxSMiI4EBqrrDP9VtVHO3TSCeX1fpqjoKOAKsbvtq16u52yUIT6KPBx7G0yTyXttXu14NxRIITAAWeP/+g4g8Tfve/+vw2d0rOyJVPYPnZxoiMgj4O+/0W8At73iGiJzD8y1fQN3mjXbzgJUWxHLCu2gakKuq/9nmlW5EC+IZC4wWkTw8n/OHROQXVX2y7WtfVwtiycDzq6T6S+sbYGEbV7teLYhFvNPOeZfZBvxb29f8bg3Fgmc//3N1c5mI7MLTvr+Fdrr/38kc0dciIg95/1qAfweqe6REiUiAd/xvgIHAeVV1ADdFZLy3vfGfgP/xS+Xv0NxYvP+vAMKBpf6oc2NasG3WqerDqhqL5yjsbHtI8tCiWBT4AXjSW8TTwO9tXO16teBzdgEYIiLVd1ycApxu63rXp6FY8DxXY4R4eqYFAhOB39vz/n8Xf58N9teAp3nCAbjwfGMvBN4EznqHT/j/K4efB04B2XhOUk6vVc4YPG1754C11ct0tFjwHI0onp3uN+/wSkfeNrXKi8V/vW5a63MWg+dEoQ3PuZNHOnAs/+z9nNnwfIH1bM+xeOf/R288OcCqWtP9vv83ZTC3QDAMw+jkTNONYRhGJ2cSvWEYRidnEr1hGEYnZxK9YRhGJ2cSvWEYRidnEr1hGEYnZxK9YRhGJ/d/Z/DQr1WxG0gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                   0.815369\n",
      "p-value                          0.991880\n",
      "#Lags Used                      13.000000\n",
      "Number of Observations Used    130.000000\n",
      "Critical Value (1%)             -3.481682\n",
      "Critical Value (5%)             -2.884042\n",
      "Critical Value (10%)            -2.578770\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "test_stationarity(ts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "ts_log = np.log(ts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c1f369208>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "moving_avg = ts_log.rolling(12).mean()\n",
    "plt.plot(ts_log ,color = 'blue')\n",
    "plt.plot(moving_avg, color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dVBvhwiUAF8cMDAJYscL5snJyRM7HxwsBHDrk7CjZIIDExNgRQM2a8jkWCuC336B6dcnPn5TkvAIwsoCCqACnw0CN8lJSXAJw4cIRGASwfbs3isUp5OR4R3UNG3rLdQoGAZxxhjiCnU49sW+fVwHEggCysqBaNYmXr1LFWQIw3zsQAoiVAnAJwIULh2AQADhvBjJ3Ig0ayLuTZiCDAM49V8wxTjuCY20CysoShzrEpkP2VQCxKs8lABcuHEJ2towgIbYEYHSUToafGgTQp4+8O20G2rcvtiagrCzIyJDPTisA84gcpFN22ufgKgAXlQolJTBpkvMju1giOxvq1ZOOK5YEYIxczQrEbuzfLx1jly4yIneSAIw5B7E2AZkJIBZROQac9AEUF8uxXQVwFGHKFPjpp4quhbP4/nu4+WaYO7eia2IfsrOlM+7Y0XlHcE6Ot+M3Oq6sLOfKMzrk+Hjo1MlZAsjOlo7LbAIqKnI2l312tvc6JifHVgE4aQIyBliuAjiKMHw4XHVV5bpRduOXX+S9Mi5UHSkMAjjpJIkqKSlxtiyjUceSAMCbU8apufSGA91sAgJnVYDZBxBrBeCkCcg858AoqzL1Ky4B+EFWlmRDfOGFiq6Jc1i+XN6dlvaxhFkB5ObCxo3OlWU2AVWpIrHkTpuADAKoV0/Oz6mc+Ya/wawAwFlzodkEFAsFECsTkHm+CHgJoLIkwnEJwAdHjkjDiouT/Ce7d1d0jZyBQQDHmg/AIABw1g9gJgClpPOKlQIwynVKvcVaARQVyXMYKydwLMNAzXmHwJt7yMnzCwcuAfjAGMUNGSJM/fDDFVsfJ1BYCL//Lp+PRQXQvr10yrEiAJBynVQA5rh8o1yn7p2vAnCaAAwii5UTOJZhoP5MQFB5zEAuAfjAaMTdusGgQeIQPtawZo3XfHAsEkBaGjRq5FwK48JCGcGZCSCWCsDoTJxSALE2ARnXzTwPwKkRcmGhPPuxCgM17pGvAnAJoJLC/DC2aSMP/bFkJgGv+QeOrXMzCAAkTbNTI3JfWQ9SrlMEcPiw3KdYm4BipQCM6xYLBeA7IgdnfQCuAjjKYHQaGRlQy7Nm2d69FVcfJ7B8uTz0DRocOwqgqEg6DYMAnDTJmFNBG8jIcK68AwfkPVYd8v79cm6JibEpz5cAnFQAgQjAVQAuAG8jTk/3OsGczCuzbRucempsVwlavlwcpRkZx44CMN83kAbn1AjZnAragJMmIF+TjNMKwJwIDpw3AZkHXeCsE9i3Q4bYh4GCSwCVFrEmgOXLYdEiWe81FtBayuzUKTYzPGMFXwKIhQKIlRM4EAE4de/MDmeInQKIRS6gQAqgoMCZBHuBooBcAqikMMvRWJiAjPwx06fD6tXOlWNg61bpUDp1ik2Sr1jBnwKIJQHEUgHEwglsJgBDAcTSBxBLBWAsCuNEmUZ5xjV0CaCSI9YKwLDvJiTA4487V44BwwF8PCgApzrIQAogJ8eZ2cexNgGZE8GBl3CcjgLydQI7MVkqkAIAZ1RHbq4cPz5evrsEUMlhtu8aDc5JAjAUwNChMG0arF3rXFngJYCOHY9tBRBrE5DReTnRKcc6Lt9XASQlSQfmVHm+PhWjQ3Yi91AgHwA4QwC+80VcAqjkyMqSjjEhQaIgMjOdJ4DUVLj/finvlVecKwtkDkDTptJBHssKIC3NG/NtNwIpAHDGDLR/vzyPRhlJSfKsOEE2JSXlCUApZwcL5jYHogDAuRE5+FcATnTKvpPOXAKo5DDHkoNIYSd9AAcOyEpIdetC8+Zio3cSf/wh8xsgtgrgzTfh7LOdO74/BWD+3U4EUwBOlGd0yMZaB0bZThBAVpaQgNkEBM4OFsx5gMBZm3ysTUCuAjjK4I8AnFYA1arJ5xo1yi7+bTe0FhNT69byPZYKYPx4mDfPuQyd/hQAONNJBiMApxSAeUQOzt07X3OT0+VBeQIwFICTTtlYmYBcBXCUwZyXHCQS6FghgJ075fwMBZCaKgrA6cyEmzd789c7HUseCwWQnS2jRsNk4XR5/gjAKQXgmwjOgJNq0XfQ5bRTVilvR2wuzykTkKsAjiKY85KD8yaggwehenX57DQBGA5mQwFUrSqdv5OJtwBmzvR+dnJyVny8tzE7rQDMjRpirwCcIoDjQQGkppY1pzltAjIrgIQEebkEUEkRaxOQ4QMA5wnAmG1sVgDgvB/ATABORpKkp3sbttM+AF8CiLUCiLUJqGrV2BNALEwy4Lzi8H1WKtOiMC4B+MCXAGrVkt+cWnzDbAKqWVPKcmrpvT/+kIe9cWP57vQEHxCz0/ffe3P0O00ABoxGFysCcFIB+M7MhdibgAxzoRPwNbs6PTHLlwCcDgP1V94xRQBKqb5KqT+UUuuUUvf72X6tUmqF5/WDUupkO8p1Ar6jEScng5WUwKFDZRUAOKcC1q6FVq1ksRuIjQL46CMxM113nXyPFQEYn2NlAnIqDLSwUM4tVgrAmJdiPJNOlwflza5OmoD8jchjGQYKxxgBKKXigQnA+UA74BqlVDuf3TYCPbXWJwGPAROjLdcp+DMBgTMEkJ0tJGD2AYBzBGAOAYXYKICZM4V0Tj3V2bICEUCsFECVKhKfb3d5vplADTilAHJzvfMMzHDKCax14DDQWI3InSpP6+PDBHQKsE5rvUFrXQC8C1xi3kFr/YPW2vMo8xPQyIZybUdRkdwYXxMQOEMAvqMtJwmgsBA2bPA6gCE2CuCXXyT+3+nZq4FMQE4pAHNZBpzIB3TokLxnZpb93SkCyMvzDgzMcEoBHDkiz2asnMDBFIDdBHDkiCSYO6YVANAQ2GL6vtXzWyDcBHwaaKNS6lal1BKl1JI9e/bYUD3r8E1LC9EpgM8+gwsvDBxmGUsC2LBBHsZYKoCiIomgqlfP+QRmvgSQkiKmLqfCQH07EXAm/YS/uHXwdsh2h/DGmgB8w3ch9k5gp0Iz/S0cZJR3LBGA8vOb38dSKXU2QgD/CXQwrfVErXU3rXW32rVr21A96/D3MBoEEEko6MKFMHdu4E7PkPexMAEZIaBmAnB6VL5vn3RQdevGXgEo5dwo2Z8JCJxRAP5mroKUX1Rkf3BCIAKoWlVG6nYHKPgmggPnncD+zHdgP+EYz96xrgC2Ao1N3xsB2313UkqdBLwOXKK1djCwMnIEI4BIFIBhWjFG+r7wVQBGWU4QgBECajYBOb3Qx65d8l6njvM57H0JAJxLCBeIAJwoLxgBGHWxE8EUgLHdTvgjgFgrACM23+7yjhcFsBhopZRqrpRKAq4GZpt3UEo1AWYC/9BaO5zvMnL4MwGlpEiDiAUBZGTIZCYn/A1r10Lt2l61Ac6PynfvlnenFYDW/gnACQVgLD1Z0QrAqesZTAE4UV5FKADfawnOrAp2NCiAhNC7BIfWukgpdQfwORAPTNZa/66Uus2z/RXgIaAm8JKSmTpFWutu0ZZtN3xXJjIQ6WzgcAlAKemgnTIBmUf/EFsFkJgoL6cciUVFsVEAgUZ1Rnl//hmb8pxSAP5GyOCcAgjmA7CbAEpKpP7+7p0TC8MHIu9jigAAtNZzgbk+v71i+nwzcLMdZTkJfw8jRD4bOBQBHDggnb45wsOp2cB795a1/4PzTmCzAoDYOhLBmVXBAjllwZmF4QONIp1UAL4hp06WF0wB2D0iN9qjP4JzYhnK48UEdMzAnwkIIk8IZ0UBZGR4J2aBcwSQl1f+wTdG5U4qAGNNBZDynXDKBiIAJ1YFC0YA6emxdQKb62MXQpmAYuEDSEiQNmG3Agim3pwggGAmIKfzb1mFSwAm2G0CMlg+GAH4zrh0igByc2Mb3geiAOrU8ebnOZYUQKB5AHl59i4ublwv33tXUU7gWCgA8C4LaScCkSk4Myp3FcBRBqdMQMZkHl8cOFDWKWuUFSsFAM6m+d2922v+AWkIsSQAJxSA7/KFZjixKIzvmrIGYu0Edqq87GwZ7fuWmZxsvwIINCI3youlAigstHegEClcAjAhO1umwScllf29Vi3prMO9YVZMQP4UgN1RQMaU9FgrgF27RAE4XVYwAoilD8CJ9BP+Zq6ayz8WTEDmLK4GqlSxnwACzaoGZwnAnwKAyqECXAIwwTcniYGaNaUTDdSRB0KkBJCVZe+EmyNHpP6BGnasFEBFmIDsNsmEcgKDvX6AQGGLThBASYl0SsGigJwwAflrc050yMEIwAm7/KFDch6+A0qXACop/MWSQ+Szga1EAfkjgGD/iQTBbJ9OdcpaVw4FAPaWaUUB2EkAocIy7Tw3o0OK9TwAfwRQEQogJycLbWNujayswGQDLgFUOgQigEgTwllRAL4+ACfSQRj1iKUCyM6WBuyrAGIZBeTEKNmKArDbBOSPAIyMnXaeW7DnxMl5AP7aXKwUwOLFi7nxxhv56qsW/P57Jo0aNeLqq69m8eLFtpTnj9xcAqik8F2YwkCknXIwAigqksYbSAE4QQCxVADmSWBOlxVKAdjZIQdzJMZSARh1sPN6BiOAKlXEWRtpeZs2beKhhx7i9NNPp3nz5tSuXZuHH36YgwcLKkQBFBYWltbnww8/pGbNTmRmPkbPnj355ptvOOecc/jxxx+jKs9VAEcZfBemMGA0iHBuWGGhdPLgnwCMh9GXAJzIBxQolND4zQkF4DsJDJwjgKwsGTGac9ivW7eOL798FuhNnz6tuOKKKxg7dixHouxVcnL8BwpAbBUA2J/qIhgBKBXes6K15u2332bw4MF0796dFi1aMHr0aBISEujRowenn346o0aNYsWKbhw+vKCM6SUvL89vGGhRURGffvopQ4cOpXXr1nTu3Jnrr7+eyZMnU2AhK96hQ8Zs9H2cddZZPPbYYwwaNIhNmzZxwQUzSUr6P6ZOncry5cupV68effv2ZdGiRdZO2A8CmbcqEwHYMhP4WEF2NrRoUf73SG6YeV9/BGBkAg2kAOyMBKosCiAtTRp1cXH5sMZocOiQd6S1du1aHn30UaZNm+bpVDrQrFlHli1bxowZM9iwYQPjxo2LuKxAJgtwzgnsz9wEsSUAsP6sHDlyhCFDhvDGG29Qt25d2rdvzyOPPMINN9xAkyZNSvf7+OOPufTS21iwoCddu3bmjDPO4JtvvmH16tVUq9aDWrXuYPXqk9i3bx/z5s3j1VdfZevWrVStWpVzzjmHwsJCvvzyS6ZMmcLo0aO5//77adGiBcnJyXTt2pUUo+F6cOgQpKfvoFevPqxfv5733nuPK664AihrcmrQoAHffvstPXv2pHfv3rz77rtccMEFYV/PQ4fghBPK/+4SQCVFIBNQJDfMaEw1awoBaF021M0ghVj4AJxSACUlZWcxm2EoAF8TEEh5gTrRSGCMtH766SfOOusskpKSuO++++jRYyj9+jXm3nuhXz8YPnw4zz33HL169eKyyy6LqKxgHfKxYgKKtLySkhIWLlzIiBEj+P7773nkkUd46KGHUL4xnh7069ePmjXPoU2bd9i37wVef/11evbsSb9+/Rg/fgbr1l1NO9Pagn369GHcuHH07duXZE++CK01n332GSNHjuSf//ynqa6pXHTRRZx55pnUqlWLoqIivv12OVlZMygo2M+nn35Kr169Svf39Tk0atSI+fPn069fP/r168eYMWO46aabyDTZdIqKinjvvff44osvqFq1KpmZmVSpUoWEhAQSEhLYsiWB5OREJkxIICMjg8svv5yUlJSQ/cmyZcv49ddfGTx4cOCLbRNcAjAhkAkokjVDjcbUoIGM5n3juQOtvZqZKURR2X0Ahw5BkyYwdaoseuMLQwGYl3QwR65YJYB9+/axZcsWOnXqFLQuGRmae+65h1q1avHLL79Qr1491qyR7cYo+cknn2ThwoXcdNNNdO7cmRb+5F4IBCOAxER5Vo5WE1CggcJvv/3GkiVLyM3dweLFOTz/fG3q1q1L3bp1qVOnDuvWrWPevHnMmjWLzZs3k56ezvTp07nyyitDlpmfn0qXLrcyduwtlJSUEO+RhuvXP8miRV/z9NN7qVGjBq1bt6Z58+bl/q+U4vzzz+e8885j+fLl5ObmcvDgQebMmcPMmTOZPn166b5xccmkpHTmq6/e41RjjVIPzJOzDHXaqFEjvvtuzg/eAAAgAElEQVTuOwYNGsTw4cMZPnw4rVq1onHjxmRmZrJs2TI2b95M7dq1KSkpISsri0Kf+O3Fi+UFMG3aNGbNmkVKSpLn3Muey1dffcXo0aOZP38+tWvX5pprriklOqfgEoAHJSWBl/qLRgE0aAArV0qHb+44ApmA4uLszwgaSgEUFcnD77sObDDs3CmE+eGH/glg925RM+ZjRrIq2NVXX83XX3/NqFGjGDFiBHF+JIfMm/iYpUu/59VXX6VevXpAeSdwUlIS7777Lp07d6ZHjx68++67/O1vf7NeGYITgFFmrBRAWhrs2GFfWb4moD179jBixAgmTZpUaqPftSuOYcNKyv03JSWFXr168fjjj9O/f39SA1XaB/n50r6UUqWdP0BychyJiX245hprdY+Li6NLly6l3/v168fLL7/Mvn372LdvHyUlJdxyS2uqVEnAp+/3lCfvhw+Xvd5paWnMnDmTr7/+mkWLFrF06VJ2797NunXraNmyJePGjePCCy8sfS611hQXF1NYWERqahHDhxdx332FzJgxg9tvv53rrruOUaPeAeJL+xOtNU8++SQjR46kcePGjBkzhptvvtnxzh9cAiiF0UkGikhQKjICqF9f3g8ehEamlZADmYDA/nxAoRQAyPn7klEwGHJ53jz/23ftKusA9i3LChYuXMhXX33FiSeeyIMPPsjSpUuZMGECDRo0KLPfwYNFbNnyAK1bt+bGG28s/d1fGGjz5s357rvvuOyyyzjnnHN46qmnGD58eEAzhS9CEYCdo/KCAiFmu0xAX375JXPnzkVrjVKqzEtrzS+/5AB7ufnmveTm7mXTpk0UFBRw9913c9ttt3HTTQ0pKqrC7NkH2L17N7t27WL37t00aNCAU045hSR/nvEgKCqSV6Coo2jDQOPi4qhduzbGyoJZWdCypf99AxGAcZw+ffrQp0+fkGUqpUhISODw4QS0FhNo7dowZMgQcnJyuO+++1ixYhXQnZkzW7JrVyI///wzM2bMYODAgUyaNCkmHb8BlwA8CJQIDqTzDzcu2R8BmBHIBAT25wMKpQCMfcIhAIMM16+HrVvLkht4E8GZES4BPPzww9StW5elS5fy6quv8sAD0smPGDGCq666iubNm7NixQo2bRpDXt4q3nzzAxISvI+00VH7mmQ6duzIkiVLuOmmm7j33ntZv34948aNK/PfQMjJKWvW8oWddvlg2SuN362QzZYtW7j77ruZMWMGycnJJHpkmda6lAwA4uJSgVokJNSibdu2nH322dx+++208xjiMzJg2zaoWbMmNWvWpG3btlGdn/EM+fhqAWdyAZmDBfyVB/bNPfCX5O7ee+8lLS2N6dM/YPXqOcyatZtZsyA+Pp7Ro0czYsQIywMRu+ASgAeBYskN+Gbwy8rKori4mOr+hvB49zUGq74EsG2bhBL6G93VqAF79oRR+RBwYoKP+VrMnw/XXlt2++7dcPLJZX8LZ1nIBQsW8M033zB27FiqVq3KsGHDuOSSS7jnnnsYOXIkI0eOJCUlhfz8fCCFTp2Gcemll5Y5Rny83Dd/NvmMjAymT5/OyJEjeeqpp9i2bRszZswIOYoNpACys7P5/fffyctbxZ9/JrJwYXNycnKYO3cuixcvpm3btpx22mnEx8ezc+dODh8+TEZGBunp6ZSUlFBYWEhRURGFhYUUFxejtebgwRKghPnzk7jmmpuo6yOpgk2s279/P5MmTeKjjz7ihx9+oEqVKowePZp77rmHKsaKKz54/nkYNkzWsfY3GHDK6eyPAJyaBxBokGN3ZI5BAL6EM2TIEAYPHkJKCowadZhhw4qIi4ujaqDQK4fhEoAHxsMYaLTlu2LQAw88wMyZMxk/fjwDBgwox9xmHwCUJQCt4aOP4JxzyifBAiEAYw1fO5CbKznW/fVtkU7xN1+LefPKE4BvGgiwrgAOHz7MAw88QP369ctEdrRo0YKZM2eyYsUKFi9ezMqVK2nSpCnDh99Av37V/V7LYBlB4+LiePLJJ2nQoAF33nkn//vf/7jllluC1s3sJyouLubTTz9l4sSJfPLJJ5SUeG3jZ50l7ykpKXTp0oXZs2fzxhtvlG43zC5WMGsWrFnzFvPmzStDAkZ2VXOE2aFDh3j++ed57rnnyMrKokuXLjz00EPccMMNNGvWLGg5oaKAqlaNXeoJu2cCl5TIQCBWCsCY5xPMpFxUlBzUnBgLuATgQagYaF8FcOONN/Ljjz9y+eWX079/f9566y3STHczGAEsXQqbNsGDD/ovywkfQLDYbmOfcGBci2bNyvsBCgrkfCMhgL1799K/f39++OEHpkyZUi6WG+Ckk07ipJNOAmSkNXy4/4YG1tYEuOOOO5gyZQrPPvssN954YxlnpC+ys+WYJSUlXHnllcycOZO6detyzz33cOaZZ/Lii+3Ztq2YsWM3EBcXx1lnnUVKSgpaazZu3EhCQgJ16tShSpUq5OTkkJOTQ3x8PAkJCSQmJpKQkEBcXBzx8fEsXx5H9+6K0aMX8Pjj59O7d28+++wzGjZsWHpuRUVyvXfu3MwLL0goZXZ2NgMGDODRRx+lQ4cOwU/eBGOgECgYIDXV3kmDwUxAVarIudk1ZyQ7W4gy1iYgf+UZJmV3HkAlQjA5avxuvmFdu3Zl0aJFjB07lgceeIBBgwYxc+bM0mgA43jVqx8G4jlwIAGQYdr770tD69/ff1nGqNV37kCkCBZJEq0C6NsXXnlFTFqefsnvLGAIHQX0119/cc4557B169Yyk3SCIViCL7C2JoBSivvuu48rr7yS2bNnlzMlGSgulvNOSxP/xMyZMxk9ejT33XdfqV393Xdh82bo27fsAsxKqXJhp+np6aQHiYc1rvGpp/bk448/5qKLLqJRo0a0bNmSU089lfz8U4ETGDjwLT766H0ArrrqKu655x46d+4c/KT9INhAAWJrAjIvDG+HdSTUc2LUIRYKwCivMhCAmwrCg3AVAEBCQgL33nsvY8eO5aOPPmLkyJGl27Kzi4BbOPHEFCCJRx6pwj333ENeXj7vvw9//7v/tVdBGpoxsrMDTiqA88+X9/nzvdu2bpV3n2CdoAogNzeXiy++mD179vDtt99a6vwh8IpSBqyuCjZgwABatGjBM888E9A0Y9T7jz/eZvTo0dx4442MGDGitPMHeztJc+K5v//97yxZsoQnn3ySDh068M033zBz5p3AhXz55VyGDRvGxo0beeeddyLq/CE0AVStKs+kkeIkWoRSAGCfH8BQ4KEUgN0+gMpOAK4C8MAKAQQaHdxxxx38/vvvPPXUU+zevZuLL76YyZPfAD7i5ptvZfr0JtSps4b//ve/zJgxh82br6NTJ5g4sRaXX345NXyYwNxRBvDXhQUnFIBxLU47TRrVvHkwcKD8tnGjvPvO2wlEACUlJVx//fWsXLmSOXPmcPrpp1uuhxUFYCWtRnx8PMOHD2fo0KGMHj2aGjVqkJaWRsOGDalTpw6JiYmsWrUbeIJp076gR48evPTSS+V8P3ZmPPVN492+fXvat28PSATPSy9t5Y47VvHVV6dzyikBepowYIUAQDouO2ZyB/MBGM+93SPyUArALhNXMBOQUZ5LAJUIoQggOTnw0o5KKcaNG0dhYSHvvfcekydPBhRKjee114byww/Qti288sr1XH75LcBIPvxQJlHdeeedXHbZZdx888306tULpVSZjjKQSgj33JxSAKmp0L07/PKLd5tBAL4+x8REcUT7EsD48eP54IMPePbZZznfkBQWEaqhpaeLv8UKbrjhBh5//HEeeuihIHvVYuDAZ3n99dv9RtMYCsAO812wdRyUUjRt2hhobIuZECqOAEKZgOxAKAIIJ0ItnPKsRhVWFFwC8MCKAti5M/D/ExMTmTRpEi+//DLff/89r72Wxpw53QEJPTt4EHr37k2dOuvp3r2QTz5RrFq1ikmTJvH2228zdepUWrZsycUXX0xBQTfgZPbsaUrjxtZmVAZDqHwyxj7hwNx4W7US27eBjRvFAWwl9YTWmhdffJEePXpw9913h1cJQttaw5mYVbVqVdauXcuhQ4dISEggKyuLbdu2sWfPHoqKiti0KY4HHjifK69MD+grSk2ViJMjR7ydWKQIRgBg/3oHgdaNNmD3spChwkAhdgRg9wI7WVlyfwI5sF0CqGSIxAfgD0lJSZx99tlMn+49VrVqEha5axf8+Wcct95ahaQk6NSpE+PGjeOZZ57hgw8+YPLkyUyYMKE0ZXHXrtC0aVNmz55dGvUS6bkZaabNyM/PJyUlGVARKYDExE2sXHmIqlXhwIEa7NvXiJo1FRs3ljf/GPAlgO+//57169fz4IMPRjQJxooCCCc3T2pqamkagzp16tDSNHV0wQJ5Dxa6Z+5InCaASFJrhCovmAKw20wSKgwUYmcCsptMAy0GY6CyEIDrBPYgL08keyCbe7g3zCynq1WTB+L77+X7mWf6HjuFQYMG8c0335Cdnc2rry4H3ubWW5/k8OHDXHvttRz20xJ27drFihUr+O6778gNMnTxHdlprXnuuefIyMigfv3qQC/ee+8WHnzwQaZOnUpekBaem5vL5MmTefPN0ygsbE6nTp347387AU1o2rQa5557LqtXLwxKAOZG9uabb5Kamhpxdk4rCsAIAYwWoSYLgr0jSeM6BeqU7TZbWDUB2U0Ax6oCOBoIwFUAHuTnywMeaBAa7qLRvgRw8CD88IM82KacVeWQmJjIySefDJxM//7Qv//JXHDBBYwcOZIxY8awYMECZs6cyaeffsq6detK/9ehQwc+//zzcnlyALKy9rJy5ZMMHryfHj16MH/+fN56663SsMKJE5ezdu0cnnhiNyUlJVSrVo1BgwbRuXNnGjZsiNaa/fv3s3DhQt5++22ys7OpVq0d6en/5c03m7FlC9x1107OOGMVv/02kx07zmLp0ktYvvyRclk8zQogNze3NNwzLcIZMVlZcs+CpWguKZF7F8hsYxXBloM0YGdHYozIA6XcdsIkE0sCsBIGaqcCMLK1+oPhn7JLAQRaDcyASwCVDKEe/mgVwMGDogC6dw8d2WOW9ldccT633347zz33HDNmzOCvv/4iJSWlNE9L48aNycvLY+jQoZxxxhk8+uijbNmyhd27d1OnTh1KSkrYtWssu3Zls2tXdd58800ARo0axciRI4mLi+PDD+GSS+Cll4pZuHAhr776KhMnTiy3ylJycjJXXnklt956Ky+/fAY//KAYMEAa6bBh0KMHvPDC07Rr9zxbtjxN584f0bdvX5566ikPqZUlgA8//JDs7Oyo8p7LIh+BO0lzPqCjkQCC2eTtXqf3WFcARqr1QLAzhPdoMQHZQgBKqb7AC0A88LrW+imf7ScCbwBdgJFa62ftKNdO5OUF7yCMmXtWozt8CaCoSPKC33NP6P/6diJjxoxh5cqVJCUl8cQTT3DppZeWyx3Svn17zj//fG644QZAct1keQzkSvVm8ODnef31dqxdu5aioqLScELwLgoTHx9Pz5496dmzJwUFBWzfvp2tW7cSHx9PjRo1aNiwYelI/fnnvdcrOVmSwa1bB7t2pQIjmTZtKKtWvcTYsWM588wzmTlzJueeey6pqbB3L+Tk5DB+/HhatGhBjx49Ql+UAAiW4Au85pqcnPIzk8NFZSOAilIAdnVc+fmBZx47RQDBYGcm16ys8gkSzThmCEApFQ9MAPoAW4HFSqnZWutVpt32A3cCAea+VjysKICSEknPayXrbV4e1Koln40EVMXFcMYZof/r24lUrVqVBYYHMgC6du3KH3/8wbZt2zjhhBNISUnh8OHD7NlzgCZN6tG0qUIpaNOmTbn/+nvwk5KSaNasWcD8Mfn5ZeV0y5ZCAEYIaMeO1ejffwSDBw+mb9++XHjhhYwZM4b8/C7s3HmAjh3vYvPmzUycONFvjn+rCGVrDZQRNBJUNgIwrr+dPoBYEo6xFoA/OGECCkUArgKIDKcA67TWGwCUUu8ClwClBKC13g3sVkr5WToktti+XVI0+47irRAAyE2zQgDmh9ucgTASArCK6tWrl8lOmpycTGZm/TLH9IfMzMBzHALBt/G2bClJyzZulGvbuLH8Xr9+fRYsWED//v0ZNmxY6f6tWrXiu+++40xfj3iYCEcBRIucHK+tOBDsdgIHu29xcXIP7OiQta4YH0AgAnBCAYRKd263AjgafAB2RAE1BLaYvm/1/BYRlFK3KqWWKKWW7LEzJzISx9+0KcyeXX5bOARgBb4mIIA2bbyqIBiMsuzoREKFt4I8qP4Wrg8GfwSwZw/8+qtIX3MnmZmZyVdffcXy5cvp1+8L0tI+5Ndff42684fQCsB3VbBoEGoxGLA3Msd3GVF/iGZNZzMOHxYSiHUY6LGoAIqLA68vbsAgADui06KBHQTgzyIe8WlprSdqrbtprbvVDrbyRgTYvl1s8eZZqwasEoDVB9IfAVjt7+LiInsYn30WXnyx7G+hYsmN+tmhAAC+/db/HID4+HhOPvlkTjyxD4WF/f1m+YwEoRq2nfHdgZYMNSOWJiCwjwCsDBScMAEFKu9o9gEYx7BimrQzuV4ksMMEtBVobPreCNhuw3FthzFpaP368tvy8sCzlKxfhJssykwAhsnp739Heukff5RhQmYmnHsunHdeOWlQjgD27JEeN8iQ8M03pcw77yxbD4iNAgAZ+QSaAwByXkeO2JfmN5TUtlMBGKmgg+FYJgAjj72rAIIj1ORE8JKDMWO4omCHAlgMtFJKNVdKJQFXA36MLBWPUATglAmoUSNYswauafcr3HsvLFkixvK5c2HQIAlPOf10GDUKfvsNME2Yys6W0KEGDYShbrlFwon8aMedO72pmA1YUQCGDyAcOerbeE84wfs5FAGY6xUtQjnb7HYCh2qsdprvrBCAXTn6rRCAUvYRjlFmLHwAoRaDMWCXAgg1ORG8dQlXeduNqBWA1rpIKXUH8DkSBjpZa/27Uuo2z/ZXlFL1gCVABlCilLoLaKe1zoq2/HAQKwIoLCy/2HXr1sCAR+XOL18uq8GXlMjqMHPnwqefwiOPwMMPQ6dOjD7UgxZfb4NWP0gOiRtvlB566lR4/XVZb3HwYEnH2a4dBVXS2bevfCIyKw27WjUZkYeKAjHj8OGyUUCpqaJ0duwITgBm6RusgVhBQYHUI5ZO4FAEEBdn38pZoZzAYL8CsFKenWGggUxqhg/JDgIItRiMgVgqgMpCALakgtBaz9Vat9Zan6C1ftzz2yta61c8n3dqrRtprTO01tU8n2Pa+YP3xuzeXX5EGEyOQngE4LfT/eUXSf95113S+YP0Ft27S6f/008yhH/xRUhMpP/BN6if9Ycogx9/hEmTYPJkcWS8/LLYT+66SwggI4O8B58EpEM0n5tVBQDhmYH8XS8xA+mYKYBQOddBOpKEhNgpALAnJbTW1p3AsQoWMLbHwgQUFyf3zg4TUKg0EAaORwVwXOUCMncCGzaU3WanAvA7w/GRR2Sofdddgf9Ypw7861+waBH9euVwbaffhTROO827T2Ym3HabKIf16yX2sl8/MseM5CxkroDZDGRVAUB4D2O5xrt/P2O2XsNWGtF2/ZyA/7MzgZmVkZZS1lYFs4JwCMBvp7xli8yCs4CCAlFlsVIA3jknsSkPQk++tGtheKsEYNdCTFYGJpWFAI6rVBBZJs2xfr1YUUAaWqil58KJAirT6a5ZAyNGSOzpqFGhg5E9SE21sC5wixbyOuccclt35q2d/+BkfmXXrmqlTlknFEBRkbxKG+/8+XDttXTfuYstic1oOLgfLL5dlI3P9Fs7FYCVkRZYXxXMjMWL5X9t23p/C0kA2dkwcybPHvyOzh8vhROyJPa3Xj347juZKQeyyEPNmnICHmYqjksg7qSOqJ5/g65dOZzRmCbUpW5BHOxMlPU1/UxBj6UTGOybdwChVbddC8OHowBAbkk063AcTSag444AjFGF2Q8QLC2tgXCigIwG0u7HSTD4VjnwqFFw//2W65qWFkYnmZ7Ol9e/Q7+nz+RtBrFnywwguUxd7FQAZRTOH3/ARRdBw4bE/fwRTTt0gAcegLFjZbHgc86Bf/4TBgyAuDhHCCBUw45EAdx8sywk8/XX0K2b/OaXAA4cgG++gTlzZLHn3Fz+nlCTdZldadG9jQwAFi2CU0+FoUPF7/PHH96wlPR08g8rJr10mMu3L6beM89AcTGZwGaARz2vs8+Gp58Wk6EJsSYAu01AoaKOYq0AIPqFmI4mE9BxRwANGshFNxOAlYc/XB9AO36n8+Q7pOFOmwZhzmkI1yH1a/KpfME4XuZ2tj18AVwwCzIyLEn7cBWAcQ3S4/PgiiukpX71lTf5yXPPidN62jR5XXEFdOoEDz9MWuN+QLytJqBQCiDcNQFArkVWlkTpfvstdOwo96PUabl9OwwfDu+9J516ejpcfTXcdBMDRpxGQaFi4btBiyjFX3/AvybAFx1h9socWLeOLT9s4ZGhu7n1Fji12S4h1FNOEdnaqpVcz+uuIzW1ccwJwK5Oy4rfzQ6HcyQKIBqEylBrlBUXV/EEcFz5AIxZoyec4CwBHD54mKkMpDg1A955J+zOH8J3JO7YAdOrD2EQb1H/zwUy8s7ODppyl7w80Nr/aOTQIVi2DD74AD76SJzUHpuUyHJNr5l3wsqV8Pbb5TNfdegAjz8Of/4Jb70lF//SS2nfrzkPMooje6KPAXDSuZeTAxdeKPfh3HNl0A6QmXxEMuG1bSv+meHDYeFCWXj49dfh9NNJTVNhkbdBTgsWQHFKGnTqxK5T+jGZm9jd7yYxIa5fD6NHQ8OGMt36wQehWTNunXsJrXP9zGwME7GOAjJSTwQjgEiI2x8iUQDRlpeRETxppFKyj0sAMURMCGD/flo/MpCTWcHGB98Q220EMK8tawU7d0r+nc9qDuLVvh9KqOl115GfW0JKCsStXSND2S1b4OefoX9/KaRTJ2q9NZZLmUmb2c/AP/4hI8xq1WRJsssvl31PPx2aNIEXX+Twvlz+x/W0WThJOqe+fQNXLD5e5jqsWQMzZlDS+kRG8TAXjjzZu8RWhLBia4XIOpKcHOGwL76AvFzNHRf/xc28xs1jWkvu69NOkzkbzzwjU7xNKS3DVW8GOR065J2lXs53k5EBI0fCJ5/A2rUSxfCf/9Bs2/f8WNSN4ttul3sbIWJtAjJMO8HKizUB2KkArIQ4uwQQYxg3pmVL+OsvidcH67MgIQQBfPEFdOhAnUUfczf/pbDPBRHXNTVVnNNWIxJ27JA4/Dp14KuUfmKGmTWLPl/fz3h9O7RrJ6qgSRPpvBYskIijKlVIuv9uZnIZZ3/6HzF6d+gATzwBM2dKj7Rkidi4//Y3+Pe/OaFHPa7jLVZd/Sg89pi1CiYmwmWXUTz3C07nB4pIgF69ZDQdIZxyAhcUyCsjpZC2749iT1wdvl7XlNe4lSPV6sKXX8Jnn3mnP/sgXAIw1+2bb+Q9pPO+WTN44gneeOBPJjCUuNdelXt7wgkSaXbgQMDyFi+GgQPFkW8gN9cbehkMdhFAsLUADKSnlw3ciBT790v7DbVEpyUFkJ8PW7fKgCZA5ULNTjcQSRJGu3HcEUB6urSR4mLYvFl+tzoLMmhUwm+/iTO0enU+ffhnxnJ3yNFUMIQrR3fulGCTunVl3hj/+hfccAN9lo/husMTJT/El1/KHIJXXpGTf/FFcVCuWcPfqy3h7hsPim37ww/FkXvppWJr7tpV7CGffAJvv01es3ZcxMf8df1DgVdiCYCUFFgUdzrjb/xFlMXdd0tnGgGysqTDCtWww3UC5+ZCdxZx82unwMMPk3zOmUz/2wRO4Wd+eO5n6N07qL6PlACqVhWRZtTBOFYwxNeqzr95kT3zV4ufoGNHGD9eCH/WLL8S8uuvxTXz++/e34ww6FBrXdjtdI6FCWjTJkkCGercAiqAnBwYM0b8eRkZIrXbthWl/Ndf5Y4Tana6gcxMewguGhx3BGCYgMBrBrIyGjG2+1UAxcUSNpKZCfPmsbVOF0vHC4ZwCEBrIYD69YUAdu9GnvaXX+adDk9yefNlMtLu3VvmEPzzn2WnYLZpw+aaXdmZH2LYohRcey2Lx/3MJ1wU0fkZzrF9R9LEN9CxowxHfSdmWIDVhhaWAnjnHVLP6swiTiUte4eQ4axZ9P/idoZMPoXefUKvBhQpAZx7rkSLFhZ6OyErNnmA7PqtZeQ/a5aQet26QuBnninqzUQERue7eDFlfrMyYLErDNRKm8vIsIcA1q+XaOlQ8NvmduwQ5XvffaKq7r4bJk6UiZn5+XDZZd5UqmvXwp9/krf9INUzikPab10FEGMEIoBwYqD9EsC4cWJXf+EFqF3b8vGCIZxsgfv2SadRr56YgHbt8mxITmZqk/vZWuOkkMcIJyOoVcIMhNKRXWqqmJlAOqswvW9WpXZ6uticDZNfQCxcCIMGUVJUwlDG8+lza0SlICaEwYOt3dO0tPAmFBmd3MUXyyVYvNh7KawmnyvTKXfpIgcZP14UXb9+cNZZYrbAe/+WLPH+xSoBVK0KyQWHKP5lhZgR586FVavCzmtsJfQ6UgWwdWvZ6mzYUDZXVSCUUwC//Sa+r7VrhUSXL5dQ3FtukSi3KVPkIvbtCyeeKHM+Wrfmh9XVmfNZgqjjxEQ5yVq14P/+r8wz7hJADFFUJA95RoaMlFNSbCKANWvEOXfhhXDNNWEdLxjCUQA7d8q7oQCysrymKisJxSC8h9G4BqFML4FQpmGfcILYI1aulIYVRkcSjgKAEGagggJRRk2asOq1H3iJoVSpa23Sni/CNd8Z1+JCz3JJL7wgKZ/MxwqEgCmaExNl3sGff8Jrr0knffLJcPfdtFk5g5b8yeJFZVWB37KOHPFGO519Nvc8U5tDVCO+y8nQs6dUun17MYvcfrs3XCoErM/MSDwAACAASURBVPoA8vPL+ipCYft2cY989JF8P3BAQnrDUQB52cVi8unWTRrS/Pnem2NG//7w0ENChI0awUsvMeHUKYyo8l8Ojxwl2+69F+64Q67V448LUbz6KmRlVQoCOG7mARiNzAjPatHCa3WImADWrZMcz2lpYlv3GBnz8gKvdWoV4aRM2LFD3uvXL5vvqEkTqUvNmqGPUa2a5bZbSi5RKwAD550njWPECGl0d99d7j9LlojqnjDB63YIRwGAXEvTgmll8d//Sif58cdkFcvFjzRNr5kAApZngpH0rU4dcbm8955EDo8YYS0qB4KYZRITxTzZr5+YiF54gZtLxnIzsOuXOhT370H8Se05Y20LWucnw8QsubBZWRJVNGuW9KDJyXDSSWzsdCn/+74lI19rTmaz6lLx336TAIjJk6UdXHKJ+COCJIWy6gMAeVasXEeQ5764GH74Qfpno41bIYAqiSVcGjebQRMehx1LRJW+/HLwSL5HHxXzUGoqmzbBv/8lj2/yaD/7fv89/PvfYoYdNow7G5zNhfsU+uI41I03ynWzsuC4jThuCMB30lD9+t6cOVYJoIwTeMMGcQoVFIjnzlgDEetyOhgiUQD16nknc+3aJQSQmyvvoRCJArCNAEBmSS9dKo2pdWtxqJvw2Wfiu77rLlHaIPUNsGRxufIgiDnhzz9lpvZll8FFF5HjSWVkNTOqLyJRAEYdp06FbdskQCrBQuu0vEhL3bqitCZP5v5LVrP/yyX0YCFXLvme+I9nMaykRPb7p2d/pWRUcOGFcN118qwnJrL4TRjzPdzeGzKbefY9/XRRb7t3i9nphRfgpJPENHr99X47Nas+AAiPAIzjrlgh74bKD2kC+vZb1JAhzCz5g325zWT+zjXXWOuQPTf8hRdkd/N6HGVw5plimlu0CCZNosbsH8nTiehf9qIMf83TT1tfOcoGHDcmIF8CqFXLm5crIgXw6KPyx6++krBJE3Jzo3MAQ3idiFkBGKl3DD+AVTIKZ1EYRwhAKXjjDejcWWYOz59fZrMRN27YrUtKJLqjoYXFR4OuCZCfL+VVrSotGGuLvwdDNATQtq346q10/uC9t5bdJykprE7pwgc1buV6pjB5xHrIz2dAxz/551mrxICelSV2l/37ZZLfueeWytmghFOnjhDpihUSOTZ4cMDkh1Z9ABCeH8Co16+/yruhAAKKkZwcGZWfcw6UlDCk+rs8cNmfEpgQxmj88GGZB3j11eXnRJaBUpIWZOJEZjy0kq4sY/ePG8QstH499Ogh0mX1astlR4PjmgCMJYfz8qzFQJchgJdfFqehkVHOA60lksOcRCwShEsAqanSYRlq1SCA3FxrBFCtmrQFK/ZWOwjAr2krPV3WRWjeXEwWprU7fQlg9Wq5p6eeaq08CFDmv/8tvcVbb5WySUUSQLiIZJnGvDwRWbVry/XMPpLEgu0tyWncVq5BenrA8F5L5TVtKrGmd94pocYTJvitA1g3AVmF8WwaiyNt2CC8VO5eLloEN90ko6YXX5S6Ll/O17WuIjs/fMPI9u3y3PTubf0/pTPwcxPg1lvFpDx6tEwGOfNM+5IuBcFxTQAHDnidw1ZioMsQQNWqfnv5338Xv/CVV0ZX33BNQPXry2eDAMzmLatOYLAWl2yrE9gXtWqJPTktTZyKHqewLwH89JO8mzNlB0JABTBpkjhIH3gALvBO2rOLAKzOPbCy1GSossLpK4wkbN27i0Xi8cclkiyg6cIEywvDx8fLZMSLLhKS/fLLcnUwH88fDAIIJ1be7KNbsUIG1aXmH60lkqdfPxk5TJ8u6s+I4KtaNeI1AQxrgs/KrkFRLgVLaqoElGzYIHWL1o5sAcc1AYCo3HBioEOlgnjvPRk8DRgQeV0hvDDQHTu86xmnpEjD2bXLm2/FqgIAa36A/HxRS2HOAStFyLj8Ro28i+R88QXgDalctkycfD/9JHbhVq1Cl+dXAbzyitite/cWs4UJVmPwA+FoUAApKeJvX7VK+unrr7empsIqLz5enBrt2klH6wlDBWsmILMPwCp8CWDDBjgv/QeJsa1fX0yMCxfKTPcdO8Rxfcoppf+JdFUwWwjAQK1a0KdP+JWIAMc9AezdGzoplYFQBKC1ZATu2TPiFEBlylIqfAUA3rkAxvyUcBSAVQKIxsdhKS5/8GDxXj/8MGhdqgDy8qQf+ekn6bCskFA5BfDUUzBkiDg4Z88uZ3DPyRGCC2USDIRwCSAnJ3ICsDwiN8FQAN26iS+lShV48klr/zU6bMsJ4dLT4eOPpZB+/UoTCoajACLxASQlSUxBvc0/c/+88+TLeeeJk3rDBlF9fi56hSqACoBLAHtD5yU3EGqBit9+s8f8A94FuEM9jFqL/dFQAOCdDWx1lSfwKgArjuDDh6MnAAjRsJOSRA7//DN8/jlHjnj76W++EVPb6aeHV15Otob//Eca/8CBMgnNz4lYXfkrEGKpAOLjpW+NRAGcdpo806NGlR1ABEMkioOmTWUuwV9/SaRVTk7p/4OZEaPxAXTqBJvm/MYn+nwKMuuI7fB//5O5EUFCiiqFAoghjisCUMrbOI0MzYYCsMMEZJf5x4CVh3HHDmkgrVt7fzPyAVnNJwOxVwBgoWHfcIOogP/7P4oOF3HCCd4pF1pbs/+D3NtECug1/TbJ3jlkiDh9A0zUsLIWbzDEkgAg/Pw8xoCndm1Rj8OGhVcWROCfPOMMifJasAB69KDKrr+oUiW4govGB3DRieuYkdWHfFJYPe4rywwXjQJISLA2MdFAOH43p3BcEYA5uMHXBBQOAfibrKq1EECvXuVWQYwYVgjAiHc+yZTtoU4dUQX/+pd8D5C0sgzCUQAxI4CkJImLXrqUi39/gpQUiS40IuRMptvAKCkhbvo01qi2dF82UUb/5tlkfhCtAggnNLOkxGehmQjLC2fUar5/VibS+ZYFEQaoDBwoCQU3buSOKd0ZkDA76O5VqsgjEK4CaMRWhs3tTSKF9OFLGvYIPCHNF9EogFq1wpvHZdxzVwHEAL45uo3ZsXv2hEcAJSX+bdcLF0rKkIED7akvhEcAHTt6f6tbVyKc5syBl14Sn0QoVEoFABJYPWgQV//xKN0Lvi9dnrFt2xDLK2stDuRu3WDgQPLj03jhvLni/AvRSqMlgPh4MW1Y6UiM0WasFEA4gQGByoIoIhT79oWffiK7Sm2m5l4ifoHFi73xx8XFZRbDDjcfUNy+PXyp+pCSv5/z+JyNye0sm7cgOgUQjvkH5DlJT3cJICbwJYAqVeTih6sAwL8Z6OWXpRO9+mp76gvW1gVesUImIZvNmq1bixx9+22xdliBcW2sEkCkIaAQIi7fHyZMYFdyUx5dfy2nt5MKBjT/7NolrNejhzj9DhyAt95iQLNf+LHa+ZaKM1IzRAOrI0mjc4vW5GS1Qy4slEFMpASelCT8GVWIetu23H/eLzxZc4zMoj/lFGHzNm2kIdasKcnWcnLCI4BDh7jp/b401Zso+WgOKxO70rx5eNFqqakSoBBO/iGIjACg4heFOW4JALyzga0SQKCF4XfvhhkzJJQu2o7DDKsKwGz+AVEhe/aEp0YSE6W8SmUCMpCRwcMtp1KnYCvnfTSE+DjtX9V8+KGw4dCh0qpeeEG88oMGkZYRZ5lwolUAYJ0AYq0Aok1UaAQnRLssZM6RRKbWvwc2boR335Worw4dxCHxr3/Bm29Cly5cWTyNtO1rhbWCYc8e6NePBvtWcFutD0j8+9/o1q182wiFcMKvzYiUACo6IdxxlQsoWgIwOj3fSKDJk2Vkddtt9tTVQGqqTNAJhIICsYf7Jio00riEC6sPY35+RMsclyJoaoYAWJZ0GlNbPcI/Zj/ItjHnU/sf/yi7w/z5krula1eZk9++fbkyrZYXSwIw6hQrAoh2Fne45QWrR9WqyIN01VXyMuOyy2DQIJ7eOhC2ALVryGS9iy+WyWXGCezfL2tdjB0L+flMOO0dftonk/o+/th6Sg0DZgd+OP6Ro5UAXAUQpQmouFjSePTqFX36B1+EWhh+zRqRquGOcgKhWrVKFAbqg4IC+KjdA3DWWdR99Hbi5s6RUWFRkYz8L75YUj7OmVOu8zfKjKUCsGK+g9gTgJUUDHaWF6weQevQsyesX88dZyzjsWaTpNP/9FOJsW7QQGyb/fpJ/PNjj8H558Nvv/FN7atKj1uzZvhO7kjWBS4pkYGaSwCVGKEIwOpEMChLAAsXSlIyu0f/EHoUuXKlvNtFAOEogFgTwJEjkJgcL46NGjWk8Z94osSYDxggI8nPPw+Y+9pVAAIrM3DtLC9YPUI+Q0lJ7G7YmanJN0oM/65dknzxggskpPTXX725nN57D0480XJbDoRwQ3hBBk0lJccxASil+iql/lBKrVNK3e9nu1JKvejZvkIp1cWOcsNBIALYuVPMN5EqACMVszkKxy6E6kRWrBCnnHkOQDSwqgCiJYDkZImACJcAqlRB5gX8+aek661fX2b8fPih2MJMKbl9EUwBLFsm93/jRm9Y5tFGAFY7rMqiAKxOvizjBI6Pl/U33nlHGvSmTbJwi2kEZPW4gRCJAohkEpiBiiaAqH0ASql4YALQB9gKLFZKzdZarzLtdj7QyvM6FXjZ8x4TlJTIQ+SPAAx7fqQEYPw/mqiYQDA6Ea39Ry6uWCFpVqJZeMaMzExJSBgK0RKAUuGH95USAAjrDRwYlpc7mAL47js5p19/lTkUWseeAGIVBXRUKQCkzfqdKBUgT0d+fmT+LwORKICjmQDsUACnAOu01hu01gXAu8AlPvtcAkzRgp+AakqpMKJzo4PRifojAAORRgE5SQBpaeJjCLS2rL8IoGhgdU2AaMNAIXwCKCiIPDePUV5urv9gEiNH2ZYt1tfiDYXKHgUUDYFbSYpopR5W6mAoN6srhUY7OKkIBXDkiDfbbaxhBwE0RPz0BrZ6fgt3H8fgmwfIgDmSJdIoIDuiKgIh2Ghk716Z7WsnAVSrFnpaemGhkFK05xuOUxZ8FEAESEvzToLyhTGz+K+/ok8FbSBcBRBN+HDVqnJ9iotD73u0KYD0dLlv4Zi4Yu0DiJYAoOLSQdhBAP6mVfrytZV9ZEelblVKLVFKLdljrNgSJYyL6zvKClcBVIQJCPx3lMuXy7udBJCREXo0YhfhRWUCirA88F+moQDsJIBgneRLL8l6v0Z90tIiT61tlAXWRuVHow8ArD8rR5sCCGcCphOwgwC2AmbvWyNgewT7AKC1nqi17qa17lY7mmBzEwIpgKOFAPyNRqZNk+1WcrhbhZXGFu2C8AbCicopLpZXtCYgKN+wDxzwrp62ZUv0awEYMGaU+o7KZ8+WeWovvuj1TUVj/oHw0jNUBgVgmDWt+gDA+gg5WidwpAogOTmycis6I6gdE8EWA62UUs2BbcDVgK93bjZwh1LqXcT5e0hrvcOGsi3BuLhOEEB+voxMw0kCZRWBHsaDB4UA/vGP8LIPhoK5sRnX5rHHpGPs0EGWTTU6KzsUgNHxhoLhA4nWBATlSccY/deubb8CAOkojWu2ejUMGiTnkZsr5VUUAVSkAginDrFWAMY6HOEqgHATwRk46glAa12klLoD+ByIByZrrX9XSt3m2f4KMBe4AFgH5AGDoy03HBizaX0lWvXqctO0js4J7MToHwKPWt96S+pg99wDf6OtJ57w2v2TkmTSJcTWBGSYpOwwAfleS4MA+vSRjAQHDsh3uwjAnOnzyivlur36qgQwrVplDwGEM2qNNhWE8V87CMBuE1BhocwLjObZjIuztg6HGZHOAoYI8mLZDFvmAWit52qtW2utT9BaP+757RVP548n+meoZ3tHrfUSO8q1CsNG5ztHKCHBm0TNykPjjwCiHXEEg7986FrLaobdu8vqdnbClwAKCoTgHn0UNm+W5ReHDpVtsYwCMhRANCagQApg9Wo57t/+JiaZtWvL7h8pfNfqLSiQBYOGDoVzz5XfVq2yZ9JZJAogmvtXtaqcjxWnc7A62K0A7PJPhZsRdO/egPMPQyJYgslY4LiYCWwoAH8LARnMbWU0olT5VcFioQDMD//ChdJxODHz2JcADFmamSnzrz7/3DvX6lhSAK1aQXNPyvhVntkrdioA83t6unQWdevapwDCIYC8PHleozFZhttp5eaWrVs4juhwfAB2+Dcg/ACFaBRA1Om1o8RxQwDVqvlPDBUOAYA8tOabFWsCeOstaRS+ubPsQCACMH5v2FBS7F92WfTqIz1dJLuV+Gc7CCCYD6BtWyE48IaE2q0AfFdna9euYgggWidpuOWBZOq45Rbvd0ORB1mZsRQVoQDCDVGOhgAiWdPZThw3BBDoBoVLAKmpsTMBGR2v+eHfvl1GrHamnfYtz58CMNCmjaS+jnbR+3BsnwYB2B0FdOQIrF8vKYUMZbNmjYyOo72nvp2k7wQzgwCMlersLCsYoo2TD7c8EPPhTz95v//xh7y3aRP6vxVlArKqAIqKxG8UrQJwTUAOIpiNLlwC8M274qQCqFpVnFJm+ZuVFX6GQ6uwQgB2IZyU0E5FAa1bJ3b/tv/f3rmHR1ncff8zWQIhIRzkKFBMVBAwF4SzPvCqiFTrA9YieESD2KeK+gg+HntVW9tqtV68r/WAVlq99AFFPEDxRG1F0YpYiZazVkoNCoQEoqLhlITM+8fsZO9sNske5p49ZD7XtVd2N/fu3LN773zn+5uZ3wxRgnrMMUoU8vISm5cPTQdmIzmA775Te0lkugOorlZ5lvTx//yn+i6POy66srKyortOTKxxgJZDQEeONF6VrDcvcw4ghamqal4A+vULbhoeZT6d8BkQiaZGbgkhmvZGIiW1M0W44PgpALH07EyEgLKz1eu95ekZQIMHq7/aBSQa/oHmHYBXADSZ7gB0Khbd89fjLoFA66+NJW+UyTGASM704EGVcfzBB0PPJbIIDFRYOjvbOQBfaSkEdOONai+RaAfFwgXARF6clujcufHFv3+/fwIgROPkW5kkALpM7w9bx/t1KEKPA5gQgGgcgMbUeEM000BtOwApQ5+5HmD/9NOQ6EZDfn5sg8B+OYDly1UIdsuW0HOJCgCYWVkdL21CAFoKAXXrRsNG49EQyQH4KQDhF7+fDgBSUwBMTAOFpm5q2zbo3z/UgGoBMDG+Et5Ihq8w7tkzdE0m6gBiCSOYcACxCE5NTWh/3a1b1eN//zt2AUiFMYAnn1R/KytDz5kQABPJ9eIl4wXgyBF1ocY7Tzec8NS7fg4CQ+OLX8rkCIAf5aWCAwgfvDMZAmrNAQgRcgGJCkB2trrZGgOIRQC8x2zdqgbdjx6NbgBYE60AmBwDqK5unDm2rAzeekvdjyQAibQvzgH4iF4DYEoAbA4CQ+OL//Bh1ZuyKQCxjI/EQjIEILxnFx5OMxkCCu+VR0ozbUoAoOVG5MMPobw8dD4mesgQ3Qwu7zFbtzYdd4mG8DBoc5gMAUHjz/Opp5RoT5jQWAD0/V694i/POQAfMWHRvNgcBIbGF39zSe1Ml+cVAL9mHMUyDdRUCCjcAYTPqDIpAFlZ6rpozgGAeQGI1CM/cAAmTlSrucGMA4hHAAYNUrOuNm5Uj2N1ADYXgoXPGKuvVwJw1lkqXOwVgIoKtcYokc6JcwA+4ocDsDkI7L34M1EAku0AvPUzGQKCxteKbpy9jdOZZ6oxiIEDEy+ruU3o33hDncP27eqxbQegz2nMGNWQvvyy2tM9FtGzPQYQfm2uWaPWMlx5perpV1eHytqzJ/E1MeGLS23iBCBGvGMAUtoNAdkWAD/XHLRvr6bA2R4DaCkE1Lev6rmbWmTn3RTmwAH1Q/euLygqUplW+/ZNvKzmBi6XLVN/y8rUXxNjVh06qCmcsTiAsWPV348/ji38Ay0LwMGDod+4yTEACJ3755+rv2PHhkI9equSiorEBSA314WAfMMPB6BnNtTWKhGwMQisB4DBrgPwc8pptD07k7OA9I9af55egWvXDubPh5KSxMrReB1AdbU/q7c1keau19TAq6+q+198oXrgJkJAen1KLA5g5MiQ+MUqAC3trvbTn6pEfqDqFggkPmYV7gB0hthu3UICoMNAFRXQp09i5bkQkI+YGKX34p3eZyKzYmt07hzKmWNLAA4cUDM1/AwBQfNhi3BMOwAp1XcXaUD9xhtDvdVECXcAfgpAJAfw9tvqOzz3XCUGX35pZjtPXV4sDqB7d7WICmKL/0Pzm+tAaGC5rs6MuEHTMQC9T3aXLpEFwEQIyDkAn6iqUheQqUbaKwB+7gam8fZGbAkAqB+u3wIQbc/HpADU1anGUH+Wtup34IC5sYVIRHIAy5era//HP1aP9cI3U41kLALQqVNo0DseBwCROwu7dilns2ePuSnZkRxA587KXXgF4PBh9RsxEQJyDsAnWkoDEQ/eLI9+bgivSZYAfPtt6glAotbe27Pzc5GbJpkO4OhR+NOfVO9f97j1SlybDsA7/VULQKwOQH9vzQkAKHdjWgB0/b75Rs30gcYCoHe0SzQElEwHYGJLyJQmkc0aIuF1ADq9tN8hIFANsk0BqKpSdUwFAaipUfH/RLfd9P6wbXyWubmqYQL/BSDcAXz8sWqgzj8/lHQtmQ5AOxG9t0QsNOcAvN/jl1+ameEEkR2ATl2dl6c+P68AOAeQQtTVwZ//DBs2qMct5QGKB+9GH6Y2SG+JcAfQvn3ioZCW0A3izp3qr9895GgdgIk6J8MB2BoE1g2yzlS5e7f6O3iwKrdHj5AA2B4DyM5W1+0JJ8Dtt8cu5PpzCy9P9/4h5ABMiJsuzzsGoB0AKBdgUgA6dgxtZ2mbjBMAgBkzYOFCdd90CMj2IHC4APjZY4XQ++ueq98OINpB4ERnAEFjB+BnmguNt342HICe5QNNHU5BQXIcgImxj+YcQCQBMCFu7dqp99H18zoAUHmcKivVuAOYcQCQnDBQxglAu3Zwyilq8Qb4OwaQjEHgTBOAaENAph1AMgaB/XYAEGq0wut33HGh3PUmGsm8vOgdQKL1bk0AcnKUYzWZl8s7RdlvB+AEwDDjx8OmTUq5v/7afwfgdyoICI0BtEUBMBUC8oqpzUFgKe3MAoLmFw0WFISOtT0G4LcDGDnS7BgANB5UD3cAXgFINA0EJHdTmIwVgPp6WLlSPfZ7DMA5gPiwLQDeXrJuIE3k4WmO3FzV+OuMtDYdwP79jceLvAJgagxAi5uX3bvhV78KdY5MCF9zs4B27VLX5+DBZkNAEHIAdXXqM43kAEykgYDkbgyfkbOATjlFrTpcsUI99ssB6Li0nwIQHrYwkTYgmvJSSQD0LKBECXcAeXmhmVx+oBv8r79WDYnfYwDQ2AF4Owve7RdNCYBeU6FF5h//gKlTVcP8H/+hkqeZDAFFGgTu10/lcNqzR4mRCXcDoVlVehFYuAOorVU7nCU6BRRC34cLARkiPx+GDw85gHReBxAIqDJthYACAfXjtjULqLZW3VrCdAhIDwL7/VnqxkivGrU9BuCtnx8hIG95q1erVMm6l67j436HgPr1Uwn1pFQiYNoBaAEIdwCgViCnuwPISAEAFQbSvSGTISBvvM5GCAhCF6MNAQBVhs6/4/csGWi952NKAHJyQhuM+5noTqMbLp04LNMcAIQE4A9/UN/n2rXqsZ4h4/csIO0ANKbHALx5gDRaAGprzQhAuAMID6v5SUYLgMakAwgEVGPkFQA/HQAkRwBA1dPPNQfe8ZSWMBUC0gnobKS5gNRyAJ07hxoxPxzAV19BYaFa5duhQ2MHkGi99W/Oe50cPapExi8BCA8BRXIAYCYEFO4AbrghlDfJb5wAxIGe321jHQCoi7GqSgmOTQGw1UC2Zn1NOQAI9exsiGm4A7A9Cyj8+9MuwMT1GkkAjjlGiWzv3mZDQNA0I2hFhRKBcAEwOQbQmgMAfxzAV18lvuo9WjJWAL73PXXLzjb/w9MrPA8fViEFPwcSQTVUesqbE4DEaKsOANQ4gA6DmS5PCwCEBMDk9Nfwaaf699Cvn/pO9XdpMgRUXR0SAK8D8IaU/RgD+OabxoLjJwldCkKIY4QQfxVCbAv+jXjaQognhRCVQojNiZQXKxMnKhEwraZ69oqedua3Wufnty0BOHQIRoyARx9Vj02tBIbGDsDWGIANAWjfXnV2tAOINMg9dqxKx2CCaARA75thot7hDsArABByASZDQPX1oZQa3ga5ffvQY5MCoB1A+LoDP0m073o7sEpKeZ8Q4vbg49siHPcU8AjwvwmWR21tLTt37uSwDsC3wK23wk03hZbAm+Kxx1Rcsl07OPts8+8fzi23wLXXqvs9e/pf3rx58F//pXqLLZWVk5ND//79yY4zTad3RpWXBx6A9evVZubXXmtuJTCErH2mzQKCxgnhIjmA225T15IJvAJQX68aLa8AlJY2TgWdKK0JQP/+sHmzWQEAtZFOdnbT9+3VS9XZ5DRQrwPQ9fKbRAXgh8AZwftPA6uJIABSyneFEAUJlgXAzp07yc/Pp6CgAGErUBaGEOrWoYP6oQ0Z4m95O3aE4sgDB/rfcH3xhWq0unaFE0+MfIyUkqqqKnbu3ElhYWFc5URyAHv2wL33qvu6zqbHAD7/XDVOmTQLCELu5sgRJZrh10lWlpnwjy4LQuE0KRsLwN69ITfilwC0axeKx2sHYHIMANR6mG7dmrr8Xr3UOgDveEC8hI8B2HQAiV4OvaWU5QDBvwl/HEKInwghSoUQpXv1L8fD4cOH6d69e9Iaf1A/ovp6dbNxGoFA5Pt+l9fS2IYQgu7du0flxJoj0iygO+9UDdjgwaGes8kQUH5+yNZnqgOwkerauzhL5xjSAtCnjxqg/eKLxscmWl64ABx7bEjQTIeAvAsivfF/Ta9eZtJAgKqDnlkITXMP+UmrDkAI8SYQyej8zPzpgJRyIbAQYPTo0RFnxCaz8Qf1Ag5ivwAAFmhJREFUhdXWKgEw1aNqrTyNTQForaxEv4dwB/DZZ/DEEyoEtW8fvPuuet50CEg3WLYdgJ+zgPT729o4qCUB0HHx7dtD52WivPBBYG+YxI8xAFACMGxY0//PmKHcuCn0uOLhw+qWMmMAUsqzmvufEKJCCHGslLJcCHEsUGn07FIU7QCktCMA3obYpuD4LTbhArBpk/pMr7gCFi3yLwSk8VsAsrOVi9INso31IrYcQCAQSplsQwDC94/etQtOPjn0eORI5RK9K54TQQvAoUORe+MXXaRuptC7gkVad+AniTYnLwMlwfslwIoE3y8tqKjYyQ03/JDJkwdy9tknMHfuXGr00lkPu3fvZvr06a2+37nnnss3+puPQEshoLvuuov58+dHfe7REK0DSJRwAdAZOrt2VYPdBw+qH31trVkHoLExo0r3lHNz/RfvcAfgt8DpqZKtCYBfISCvAxg2TDWgpmc5gZ3euHYAkdYd+Emil+R9wGQhxDZgcvAxQoi+QojX9UFCiCXAWuAkIcROIcRVCZabNKSUzJkzjdNPP5+VK7fxxhufUV1dzc9+1jgiVldXR9++fXnxxRdbfc/XX3+dri1IvrfhsOk4/C6rOQHo0kUJAIRme5icBqrxu4GEUB39jv9D4zUO4L/ARSsApgeBjxxRQhc+AGvyevV2FGz0xpPlABKaBSSlrAImRXh+N3Cu5/EliZTTHPPmqemCJikuht/9rvn/v/XWW3TokMPUqVdSXw8dOgR44IEHKCwspLCwkLfffpvDhw9z4MABnnzySaZMmcLmzZs5ePAgs2bN4tNPP2XIkCGUlZWxYMECRo8eTUFBAaWlpVRXV/ODH/yACRMm8P7779OvXz9WrFhBINCR5cv/wJ/+tJB27Wo48cQTWbRoEbmmpjyEYcsBeNNqQOOGK1wA0t0B2BAAm2MAujyvAOhea9euSrBNO4CaGuUGq6rUc6ZX+HvxXifOATga2LJlC8OGjULK0Cygzp07M2DAAOrq6li7di1PP/00b731VqPXPfroo3Tr1o2NGzdy55138tFHH0V8/23btnHdddexZcsWunbtyksvvUQgABMnTmPJknVs2LCBIUOG8MQTT/hWx9xcdQH6mSvfW5bu2e3frxqVQCDUu9NpqdNxDACS4wBsCsCBA0oA8vPVmAeE0kFoYTDlAECVt2+fuu+nAHjP2UZvPDc3DR1Asmmpp+4XUkqystTsl6NHQ7ZTSokQgsmTJ3OM9sIe3nvvPebOnQtAUVERwyJNLQAKCwspLi4GYNSoUZSVlZGVBdu3b+a22+6gpuYbqqurOfvss32onSIQMBdLbQ3vngDe9AzaAei01CangWpsCIBuuPyeAaTLOHw41PDacgDeRWCa3r1D4m1C/LybwmgHYDLLbzjZ2arTceSInd54x45q9bRzACnOySefzMaNpYBa5p6VBd9++y1ffvklgUCAvGaudhlljtcOnq5uIBCgrq6OQAB+9atZ3HnnI2zatIlf/OIXCc2/TyVaEwDTISDdkOhZLH5j2wGAWufQrp3/SQq9IaBIAgCqITUh3l4HYCMEBKHPM5MdgBOAGJk0aRKHDh3ktddUVov6+qPcdNNNzJo1q8WY/IQJE3j++ecB2Lp1K5s2bYq6zEAADhz4jj59jqW2tpZnnnkmsUqkEDqxHjQWgPx81XBoB2B6DKBLFzuL+GwKgBa33btV79/v+kUjAKacTzIFwJYD0GMAubnmHG9rOAGIESEEixYt5803X2DatIGcccYgcnJy+M1vftPi66699lr27t3LsGHD+O1vf8uwYcPoEmUMIisLrrnm18yYMY7JkyczePBgE1VJCZpzAEIoF+BXCMjGADDYHQTWddu1y0792ooA2HYAtnr/kOZjAMliwIDv8cADrwBqj169T++sWbOYNWtWw3EFBQVs3qwSoObk5LB48WJycnLYvn07kyZN4rhggvaysjIAevTo0XA8wM0339xwf8aMOVxzzZwmC13uuusuo3WzTbgAeMceevUy7wB0g2Qj/g/JcQC7dpnJURNNedXVqoPSnACYqrd35fG+feqxjRAX2HcAtuL/4AQgLuKZl3/w4EEmTpxIbW0tUkoee+wx2sfQrbU1K8c2ubmhFb/hOfp79lQbjYM/ISAb2BwE1nWrqGg+iZ9J8vJUr7W21r4D8Lv3D/YdgBYA5wBSHG+jH22cNT8/n9LS0rjLtLVFnG28DiA8R78eCAZzISDdkNgKASXDAdTX2wsBgZoMES4AOk2yKQEInwVkUwBsdBY6dlSzCvfuNZfOIhrcGEAc2F6Zm8loAaipUVMYmxMAUw4gEFBl2nYANscAwK4AgL0QkE0B6NRJfaZ+7/gHoY7C7t3OAaQ8TgDMoWcBRUpf4IcAAAwapDYvt0EyHACkjgD4FQKy0Uu+7DJ1rdhAXydffeXGAFKeeEJAjshoB+DNA6TxSwA+/NBOWm1ouw6gWzez+3F7947Yt8+OAzjrLHWzgXdNihOAFMc5AHPk5qrVlnoFpFcAvDNZTM6LjnMHy7iw6QC8y1CSLQBCwJVXwqQmmcLiIxBQs37271dTJW0IgE28353NEJBrvuKgffsAl15azEUXFXHJJVNbTOUMappnUVERAKtXr2bKlCkAvPzyy9x3331GzkkvRPtO78MHzJ07FyEE+3TylBREX/jl5eqvDQdgE5uzgLKyQuXZGONoSQAAHn8cLrzQXHl5eWqKq5SZJwDJcgBOAOKgY8eOLFmynqVLN9Ot2zEsWLAgrvc577zzuP32242d14knnsiKFWpLhvr6et5++2362dpdOk68g1+QeQJg0wGA3YVutnPmd+oU2mbSzzxAySBZDiC9Q0DJyAcdJCtLTdsaN+5U/vnPjYDK93PrrbeycuVKhBDccccdXNTCtkFPPfUUpaWlPPLII8yaNYvOnTtTWlrKnj17uP/++5k+fTr19fVcf/31vPPOOxQWFlJfX8/s2bMjbjRzySWXsHTpUmbOnMnq1asZP348K1eubPj/4sWLeeihh6ipqWHcuHE8+uijBAIB5syZw7p16zh06BDTp0/nl7/8JaAWspWUlPDKK69QW1vLCy+8YHwVcrQOwNbSeNNMmADXXw/jxtkpTzfKNgWgY0c7eZXy8mDHDnXfOQAzOAcQJ4EAHD16lHfeWcV5550HwLJly1i/fj0bNmzgzTff5JZbbqFct2xRUF5eznvvvcerr77a4AyWLVtGWVkZmzZt4o9//CNr165t9vUDBw5k7969fP311yxZsoSLL7644X+ffPIJS5cuZc2aNaxfv55AINCQU+iee+6htLSUjRs38s4777Bx48aG1/Xo0YOPP/6YOXPmGN95DEI940gC0KVLKF6frg4gPx8efjizHUCk8I8f5OWFrpNMEwDnAOIhGfmggUOHDnHhhcXs2lXG6NGjmDx5MqBSPl9yySUEAgF69+7N6aefzrp165pN/RzO+eefT1ZWFkOHDqWioqLhPWfMmEFWVhZ9+vRh4sSJLb7HtGnTeO655/j73//O448/3vD8qlWr+OijjxgzZkxDHXoFR1mff/55Fi5cSF1dHeXl5WzdurXhnKdNmwao1NTLli2L4VOKjnAH4G24dD6g3bvT1wHYJhkOwKYAaDJNANwsoDSiY8eOLFu2nsrK/dxxxxQWLFjADTfcEHXK5+bwpoLW7xXre1588cWMHDmSkpISsjxTlKSUlJSUcO+99zY6/vPPP2f+/PmsW7eObt26MWvWrEappvU56dTUpvEKQG5u0xk6PXtCZaWbbRUtNh1A+/ZqkVQyBMCNAZjB/aziJCsLOnXqwgMPPMT8+fOpra3ltNNOY+nSpRw9epS9e/fy7rvvMnbs2ITKmTBhAi+99BL19fVUVFSwevXqFo8fMGAA99xzD9dee22j5ydNmsSLL75IZWUlAF999RU7duzg22+/JS8vjy5dulBRUdFozMAGXgGINHOlZ8/0Df8kA5sOQAjVKNsWAJPrC1IF/TvIyrKb88s5gDjRPdJRo0YwfPhwnnvuOWbOnMnatWsZPnw4Qgjuv/9++vTp05DtMx4uuOACVq1aRVFREYMGDWLcuHGtppG++uqrmzw3dOhQ7r77br7//e9TX19PdnY2CxYs4JRTTmHEiBGcfPLJHH/88YwfPz7uc40HfeFXVMDAgU3/7wQgNmynux4wwF6eKt3od++eeQswdQioa1fLdZNSpuxt1KhRMpytW7c2eS4ZbNsm5bp1UtbX+1/Wd999J6WUct++ffL444+X5eXl/hcaJYl+H//6l5RqZreUY8c2/f+iRVLOnp1QEW2KuXOlzMqyc11KKeW+fVIePGinrP/+b3WdFBXZKc8m9fWqbieckPh7AaUyyjbWOYA4ycpSSm1DradMmcI333xDTU0Nd955J310qsUMwBvXjWRsZs5UN0d0zJyp9qew1Yu0ORirr5VMGwAG9X117Gg3/g8uBBQ3WVn2BiZbi/unM97BL1sZOjOZ0aPVLRPJZAEA9VuwOQMInADETSZuzpIMvNPfnAA4WiLTBcA5gDSie/fMvRBtkp2tbrW1TgAcLaMHgTNtCqjmppvspZ/WOAFwJJ3c3KbbQToc4WS6A5g3z36Zbh2AI+nocQAnAI6WyHQBSAYJCYAQ4hghxF+FENuCf5sMYQghvieEeFsI8YkQYosQYm4iZaYCgUCA4uJiioqKmDo1NdJBf/DBB4wbN47i4mKGDBnCXXfd1VDe+++/3+zrOqXAihqbKYwd6YsTAPMk6gBuB1ZJKQcCq4KPw6kDbpJSDgFOAa4TQgxNsNyk0rFjR9avX8/mzZs55pjUSAddUlLCwoULG87rwmAi9tYEIBVwDsARDWPGqGmultcqZjSJjgH8EDgjeP9pYDVwm/cAKWU5UB68/50Q4hOgH7A1wbKZN28e6w2ngy4uLuZ3MSSZO/XUUxuyZ8okpoOurKzk2GOPBZRDGTp0KGVlZfz+978nEAiwePFiHn74Yfr378+ll15KXV0d55xzThyfkHmcADiioUsXWLQo2WeRWSQqAL2DDTxSynIhRK+WDhZCFAAjgL+3cMxPgJ+AymuTyhw9epRVq1Zx1VVXAY3TQe/bt48xY8Zw2mmnRf1+Oh30p59+ynnnncf06dMbpYOurKxkyJAhzJ49u8lrb7zxRk466STOOOMMzjnnHEpKSigoKOCaa66hU6dO3HzzzYByHXPmzOGKK66I27mYxgmAw5EcWhUAIcSbQKSlpz+LpSAhRCfgJWCelPLb5o6TUi4EFgKMHj26xVSYsfTUTXLo0CGKi4spKytj1KjUSAf985//nMsuu4y//OUvPPvssyxZsiTiArI1a9bw0ksvAXD55Zdz2223NTnGNloAbOWvcTgcilbHAKSUZ0kpiyLcVgAVQohjAYJ/KyO9hxAiG9X4PyOlNJ9U3jJ6DGDHjh3U1NQ09KRlktNBn3DCCcyZM4dVq1axYcMGqqqqIh4nUiyTlhsEdjiSQ6KDwC8DJcH7JcCK8AOEam2eAD6RUv6/BMtLKbp06cJDD6VGOujXXnutQSy2bdtGIBCga9eu5OfnN9oofvz48Tz33HMADTuCJRsXAnI4kkOiAnAfMFkIsQ2YHHyMEKKvEOL14DHjgcuBM4UQ64O3cxMsN2UYMSKUDvpHP/oRw4YNY/jw4Zx55pkN6aAT4YILLqB///4UFRVx9dVXN5sOetGiRZx00kkUFxdz+eWX88wzzxAIBJg6dSrLly+nuLiYv/3tbzz44IMsWLCAMWPGsH///oTOzRS5uSrls0v77HDYRSQatvCT0aNHy9LS0kbPffLJJwwZMiRJZ5Qcqqur6dSpE1VVVYwdO5Y1a9akTEZQE99HaSl88IHaPN3hcCSGEOIjKWVUKQFdKog0IJPTQUNmZ7B0OFIZJwBpQCang3Y4HMkjLXMBpXLYqi3hvgeHI71JOwHIycmhqqrKNT5JRkpJVVUVOTk5yT4Vh8MRJ2kXAurfvz87d+5k7969yT6VNk9OTg79+/dP9mk4HI44STsByM7OprCwMNmn4XA4HGlP2oWAHA6Hw2EGJwAOh8PRRnEC4HA4HG2UlF4JLITYC+xI8G16APsMnE4qksl1g8yun6tb+pLq9TtOStkzmgNTWgBMIIQojXZZdLqRyXWDzK6fq1v6kkn1cyEgh8PhaKM4AXA4HI42SlsQgIXJPgEfyeS6QWbXz9UtfcmY+mX8GIDD4XA4ItMWHIDD4XA4IuAEwOFwONooaSkAQognhRCVQojNnueGCyHWCiE2CSFeEUJ0Dj5fIIQ45NmO8vee14wKHv8vIcRDIgV2SzdRNyFErhDiNSHEp0KILUKI+5JVHy+mvjfPa1/2vlcyMXhNthdCLBRCfBb8/i5IRn3CMVi/S4LHbxRC/FkI0SMZ9fESS92C/xsW/N+W4P9zgs+nXHvSKlLKtLsBpwEjgc2e59YBpwfvzwZ+Hbxf4D0u7H0+BE4FBLAS+EEm1A3IBSYG77cH/pYpdfO8bhrwbEvHpGPdgF8CdwfvZwE9kl03U/VDJZ+s1HUC7gfuSrO6tQM2AsODj7sDgeD9lGtPWrulpQOQUr4LfBX29EnAu8H7fwVa7DkJIY4FOksp10r17f0vcL7pc40VE3WTUh6UUr4dvF8DfAwkPW+ziboBCCE6Af8D3G30BBPAVN1Qjc29wfesl1KmxIpTQ/UTwVtesHfcGdht8jzjIca6fR/YKKXcEHxtlZTyaKq2J62RlgLQDJuB84L3ZwDf8/yvUAjxDyHEO0KI/xN8rh+w03PMzuBzqUisdWtACNEVmAqs8v804yKeuv0a+L/AQUvnGC8x1S34XQH8WgjxsRDiBSFEb4vnGysx1U9KWQvMATahGv6hwBMWzzcWmqvbIEAKId4Ifke3Bp9Pp/akgUwSgNnAdUKIj4B8oCb4fDkwQEo5AtVrfDYYz4sUn0vVObGx1g0AIUQ7YAnwkJTy35bPOVpiqpsQohg4UUq5PDmnGxOxfm/tUE5tjZRyJLAWmG//tKMm1u8uGyUAI4C+qFDKT+2fdlQ0V7d2wATgsuDfHwkhJpFe7UkDabchTHNIKT9F2TOEEIOA/ww+fwQ4Erz/kRBiO0rFd9I4LNKfFLCjkYijbqXBly4Etkkpf2f9pKMkjrqNAUYJIcpQ128vIcRqKeUZ9s++ZeKo20coV6PF7QXgKsunHTVx1E8En9sefM3zwO32z7x1mqsbqt14R4fmhBCvo8YPFpMm7YmXjHEAQohewb9ZwB2AnhHTUwgRCN4/HhgI/FtKWQ58J4Q4JRiPvAJYkZSTb4VY6xZ8fDfQBZiXjHOOlji+t8eklH2llAWoHthnqdj4Q1x1k8ArwBnBt5gEbLV82lETx3W5CxgqhNCZKicDn9g+72horm7AG8AwoWbatQNOB7amU3vSiGSPQsdzQ4U1yoFalCJfBcwFPgve7iO0yvkCYAuwATUYOtXzPqNRsb7twCP6NeleN1TvQ6J+XOuDtx9nQt3C3q+A1JkFZOqaPA41+LgRNW4zINl1M1y/a4LX5UaU2HVPp7oFj58ZrN9m4H7P8ynXnrR2c6kgHA6Ho42SMSEgh8PhcMSGEwCHw+FoozgBcDgcjjaKEwCHw+FoozgBcDgcjjaKEwCHw+FoozgBcDgcjjbK/wcfdFqV61VhTwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -3.162908\n",
      "p-value                          0.022235\n",
      "#Lags Used                      13.000000\n",
      "Number of Observations Used    119.000000\n",
      "Critical Value (1%)             -3.486535\n",
      "Critical Value (5%)             -2.886151\n",
      "Critical Value (10%)            -2.579896\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "ts_log_moving_avg_diff = ts_log-moving_avg\n",
    "ts_log_moving_avg_diff.dropna(inplace = True)\n",
    "test_stationarity(ts_log_moving_avg_diff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -3.601262\n",
      "p-value                          0.005737\n",
      "#Lags Used                      13.000000\n",
      "Number of Observations Used    130.000000\n",
      "Critical Value (1%)             -3.481682\n",
      "Critical Value (5%)             -2.884042\n",
      "Critical Value (10%)            -2.578770\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# halflife的值决定了衰减因子alpha：  alpha = 1 - exp(log(0.5) / halflife)\n",
    "expweighted_avg = ts_log.ewm(halflife=12).mean()\n",
    "ts_log_ewma_diff = ts_log - expweighted_avg\n",
    "test_stationarity(ts_log_ewma_diff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                  -2.717131\n",
      "p-value                          0.071121\n",
      "#Lags Used                      14.000000\n",
      "Number of Observations Used    128.000000\n",
      "Critical Value (1%)             -3.482501\n",
      "Critical Value (5%)             -2.884398\n",
      "Critical Value (10%)            -2.578960\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "ts_log_diff = ts_log - ts_log.shift()\n",
    "ts_log_diff.dropna(inplace=True)\n",
    "test_stationarity(ts_log_diff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#分解(decomposing) 可以用来把时序数据中的趋势和周期性数据都分离出来:\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "def decompose(timeseries):\n",
    "    \n",
    "    # 返回包含三个部分 trend（趋势部分） ， seasonal（季节性部分） 和residual (残留部分)\n",
    "    decomposition = seasonal_decompose(timeseries)\n",
    "    \n",
    "    trend = decomposition.trend\n",
    "    seasonal = decomposition.seasonal\n",
    "    residual = decomposition.resid\n",
    "    \n",
    "    plt.subplot(411)\n",
    "    plt.plot(ts_log, label='Original')\n",
    "    plt.legend(loc='best')\n",
    "    plt.subplot(412)\n",
    "    plt.plot(trend, label='Trend')\n",
    "    plt.legend(loc='best')\n",
    "    plt.subplot(413)\n",
    "    plt.plot(seasonal,label='Seasonality')\n",
    "    plt.legend(loc='best')\n",
    "    plt.subplot(414)\n",
    "    plt.plot(residual, label='Residuals')\n",
    "    plt.legend(loc='best')\n",
    "    plt.tight_layout()\n",
    "    \n",
    "    return trend , seasonal, residual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                -6.332387e+00\n",
      "p-value                        2.885059e-08\n",
      "#Lags Used                     9.000000e+00\n",
      "Number of Observations Used    1.220000e+02\n",
      "Critical Value (1%)           -3.485122e+00\n",
      "Critical Value (5%)           -2.885538e+00\n",
      "Critical Value (10%)          -2.579569e+00\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "#消除了trend 和seasonal之后，只对residual部分作为想要的时序数据进行处理\n",
    "trend , seasonal, residual = decompose(ts_log)\n",
    "residual.dropna(inplace=True)\n",
    "test_stationarity(residual)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ACF and PACF plots:\n",
    "from statsmodels.tsa.stattools import acf, pacf\n",
    "lag_acf = acf(ts_log_diff, nlags=20)\n",
    "lag_pacf = pacf(ts_log_diff, nlags=20, method='ols')\n",
    "#Plot ACF: \n",
    "plt.subplot(121) \n",
    "plt.plot(lag_acf)\n",
    "plt.axhline(y=0,linestyle='--',color='gray')\n",
    "plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.title('Autocorrelation Function')\n",
    "\n",
    "#Plot PACF:\n",
    "plt.subplot(122)\n",
    "plt.plot(lag_pacf)\n",
    "plt.axhline(y=0,linestyle='--',color='gray')\n",
    "plt.axhline(y=-1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.axhline(y=1.96/np.sqrt(len(ts_log_diff)),linestyle='--',color='gray')\n",
    "plt.title('Partial Autocorrelation Function')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:171: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
      "  % freq, ValueWarning)\n",
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:191: FutureWarning: Creating a DatetimeIndex by passing range endpoints is deprecated.  Use `pandas.date_range` instead.\n",
      "  start=index[0], end=index[-1], freq=freq)\n",
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:171: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
      "  % freq, ValueWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'RSS: 1.5023')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "model = ARIMA(ts_log, order=(2, 1, 0))  \n",
    "results_AR = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_AR.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_AR.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:171: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
      "  % freq, ValueWarning)\n",
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:171: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
      "  % freq, ValueWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'RSS: 1.4721')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ARIMA(ts_log, order=(0, 1, 2))  \n",
    "results_MA = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_MA.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_MA.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:171: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
      "  % freq, ValueWarning)\n",
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:171: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n",
      "  % freq, ValueWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'RSS: 1.0292')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = ARIMA(ts_log, order=(2, 1, 2))  \n",
    "results_ARIMA = model.fit(disp=-1)  \n",
    "plt.plot(ts_log_diff)\n",
    "plt.plot(results_ARIMA.fittedvalues, color='red')\n",
    "plt.title('RSS: %.4f'% sum((results_ARIMA.fittedvalues-ts_log_diff)**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Month\n",
      "1949-02-01    0.009580\n",
      "1949-03-01    0.017491\n",
      "1949-04-01    0.027670\n",
      "1949-05-01   -0.004521\n",
      "1949-06-01   -0.023890\n",
      "dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zhanglei/anaconda3/envs/datamining/lib/python3.6/site-packages/ipykernel_launcher.py:11: DeprecationWarning: \n",
      ".ix is deprecated. Please use\n",
      ".loc for label based indexing or\n",
      ".iloc for positional indexing\n",
      "\n",
      "See the documentation here:\n",
      "http://pandas.pydata.org/pandas-docs/stable/indexing.html#ix-indexer-is-deprecated\n",
      "  # This is added back by InteractiveShellApp.init_path()\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'RMSE: 90.1049')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ARIMA拟合的其实是一阶差分ts_log_diff，predictions_ARIMA_diff[i]是第i个月与i-1个月的ts_log的差值。\n",
    "#由于差分化有一阶滞后，所以第一个月的数据是空的，\n",
    "predictions_ARIMA_diff = pd.Series(results_ARIMA.fittedvalues, copy=True)\n",
    "print(predictions_ARIMA_diff.head())\n",
    "#累加现有的diff，得到每个值与第一个月的差分（同log底的情况下）。\n",
    "#即predictions_ARIMA_diff_cumsum[i] 是第i个月与第1个月的ts_log的差值。\n",
    "predictions_ARIMA_diff_cumsum = predictions_ARIMA_diff.cumsum()\n",
    "#先ts_log_diff => ts_log=>ts_log => ts \n",
    "#先以ts_log的第一个值作为基数，复制给所有值，然后每个时刻的值累加与第一个月对应的差值(这样就解决了，第一个月diff数据为空的问题了)\n",
    "#然后得到了predictions_ARIMA_log => predictions_ARIMA\n",
    "predictions_ARIMA_log = pd.Series(ts_log.ix[0], index=ts_log.index)\n",
    "predictions_ARIMA_log = predictions_ARIMA_log.add(predictions_ARIMA_diff_cumsum,fill_value=0)\n",
    "predictions_ARIMA = np.exp(predictions_ARIMA_log)\n",
    "plt.figure()\n",
    "plt.plot(ts)\n",
    "plt.plot(predictions_ARIMA)\n",
    "plt.title('RMSE: %.4f'% np.sqrt(sum((predictions_ARIMA-ts)**2)/len(ts)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
